Conservation of charge
Electric charge is neither created nor destroyed in any isolated system; total charge is conserved. Charge is quantised in integer multiples of e = 1.6 × 10⁻¹⁹ C.
-- NCERT Class 12 Physics, Ch. 1, p. 4The trap: reading "charge is conserved" as "charged particles can never be created or destroyed." NCERT Class 12 Physics Part I, Chapter 1 (Section 1.4.2, pages 4–5) says something narrower: the net charge of an isolated system cannot be created or destroyed, although the charge-carrying particles may be. When a neutron turns into a proton and an electron, two charged particles appear, but their charges are equal and opposite, so the total is zero before and after.
Charging is transfer, not creation. Rubbing a glass rod with silk moves some electrons from the rod to the silk: the rod becomes positive, the silk negative, and no new charge is created (NCERT Chapter 1, page 3). A body is charged positively by losing electrons and negatively by gaining them.
Three properties (NCERT Section 1.4, pages 4–5):
Conductors and insulators (NCERT Section 1.3, page 3). Conductors (metals, human and animal bodies, earth) have electrons that are comparatively free to move; charge given to a conductor spreads over its entire surface. Insulators (glass, porcelain, plastic, nylon, wood) keep charge at the place where it was put. That is why a plastic comb charges on rubbing but a metal spoon held in the hand does not — its charge leaks through the body to the ground.
Bridge to NEET. Questions ask for n = q/e (electrons added or removed?), whether a charge is an integer multiple of e, or the charge left after bodies share charge.
Watch out: at the macroscopic level (a charge of 1 μC is about 10¹³ e) quantisation has no practical consequence and charge looks continuous (NCERT page 6). It still holds.
Select an option to see the explanation. Wrong answers show why your choice was tempting — and name the exact trap it exploits.
According to NCERT, the charge q on any body is given by q = ne. Here n is:
Answer: B. NCERT Class 12 Physics Part I, Chapter 1, Section 1.4.3 (page 5): all free charges are integral multiples of e, q = ne, where n is any integer, positive or negative.
Why A is wrong: A is wrong because a negatively charged body (one that has gained electrons) needs a negative n; NCERT allows n to be positive or negative.
Why C is wrong: C is wrong because charge only looks continuous at the macroscopic scale; it can change only in steps of e, so n must be a whole number.
Why D is wrong: D is wrong because it confuses conservation with quantisation: equal and opposite charges appear together when charged particles are created, but a single body can carry an odd number of units of e.
In nature a neutron can turn into a proton and an electron. Which statement about charge in this process is correct?
Answer: C. NCERT Class 12 Physics Part I, Chapter 1, Section 1.4.2 (pages 4–5): charge-carrying particles may be created, but the net charge of an isolated system cannot change; the proton (+e) and electron (−e) give a total of zero, the same as the neutron.
Why A is wrong: A is wrong because it forgets the electron's −e; adding +e and −e gives zero, not +e.
Why B is wrong: B is wrong because conservation applies to the net charge, not to the number of charged particles; NCERT states the particles may be created or destroyed in a process.
Why D is wrong: D is wrong because by convention the charge on an electron is −e; only the proton carries +e.
Which statement about conductors and insulators matches NCERT Class 12 Physics, Chapter 1?
Answer: C. NCERT Class 12 Physics Part I, Chapter 1, Section 1.3 (page 3): charge transferred to a conductor readily gets distributed over its entire surface; charge put on an insulator stays at the same place.
Why A is wrong: A is wrong because it swaps the two behaviours; spreading over the surface is the conductor's property, staying in place is the insulator's.
Why B is wrong: B is wrong because NCERT lists human and animal bodies (and earth) as conductors; that is exactly why charge on a held metal article leaks to the ground.
Why D is wrong: D is wrong because NCERT (pages 3–4) says the comb gets electrified but a metal spoon does not, since its charge leaks through the body to the ground.
An isolated system contains four small charged bodies with charges +3 μC, −5 μC, +7 μC and −2 μC. The total charge of the system is:
Answer: D. Charges add algebraically (NCERT Chapter 1, Section 1.4.1, page 4): (+3) + (−5) + (+7) + (−2) = +3 μC.
Why A is wrong: A is wrong because 17 = 3 + 5 + 7 + 2 adds the magnitudes and ignores the signs; charge can be negative, so signs must be kept.
Why B is wrong: B is wrong because −7 = (−5) + (−2) counts only the negative charges and leaves out +3 and +7.
Why C is wrong: C is wrong because +10 = (+3) + (+7) counts only the positive charges and leaves out −5 and −2.
A neutral metal sphere acquires a charge of +4.8 × 10⁻⁹ C. Taking e = 1.6 × 10⁻¹⁹ C, how many electrons were transferred, and in which direction?
Answer: A. n = q/e = (4.8 × 10⁻⁹)/(1.6 × 10⁻¹⁹) = 3.0 × 10¹⁰. The charge is positive, so the sphere lost electrons (NCERT Chapter 1, pages 3 and 5).
Why B is wrong: B is wrong because 3.3 × 10⁻¹¹ comes from e/q = 1.6 × 10⁻¹⁹ / 4.8 × 10⁻⁹, the inverted ratio.
Why C is wrong: C is wrong because the count is right but the direction is reversed; gaining electrons would make the sphere negative, not positive.
Why D is wrong: D is wrong because 7.7 × 10⁻²⁸ comes from multiplying q × e = 4.8 × 10⁻⁹ × 1.6 × 10⁻¹⁹ instead of dividing q by e; a number of electrons cannot be a tiny fraction.
Taking e = 1.6 × 10⁻¹⁹ C, which of these values CANNOT be the charge on an isolated body?
Answer: D. q/e = (2.4 × 10⁻¹⁹)/(1.6 × 10⁻¹⁹) = 1.5, which is not an integer, so this charge violates q = ne (NCERT Chapter 1, Section 1.4.3, page 5).
Why A is wrong: A is wrong because 3.2 × 10⁻¹⁹ / 1.6 × 10⁻¹⁹ = 2, an integer, so this charge is allowed (n = 2).
Why B is wrong: B is wrong because 4.8 × 10⁻¹⁹ / 1.6 × 10⁻¹⁹ = 3, an integer, so this charge is allowed (n = 3).
Why C is wrong: C is wrong because 8.0 × 10⁻¹⁹ / 1.6 × 10⁻¹⁹ = 5, an integer, so this charge is allowed (n = 5).
Two identical metal spheres carry charges +12 μC and −4 μC. They are touched together and then separated. By symmetry the charge is shared equally. The charge on each sphere afterwards is:
Answer: A. Total charge is conserved (NCERT Chapter 1, Section 1.4.2, page 4): (+12) + (−4) = +8 μC. On contact the charge spreads over the two identical conductors (Section 1.3, page 3) and splits equally: +8/2 = +4 μC each. Check: 4 + 4 = 8 μC, the same total as before.
Why B is wrong: B is wrong because it halves each original charge (12/2 and −4/2) instead of first adding them; the spheres would still carry opposite charges after touching, which cannot be the final equal share.
Why C is wrong: C is wrong because it gives the whole +8 μC total to each sphere; the combined charge would become +16 μC, which breaks conservation.
Why D is wrong: D is wrong because it assumes no charge moves on contact; charge on a conductor readily spreads over its whole surface, so the two metal spheres share it.
A glass rod rubbed with silk acquires a charge of +8.0 × 10⁻¹⁰ C. Taking e = 1.6 × 10⁻¹⁹ C, which statement is correct?
Answer: B. No charge is created in rubbing, so what the rod gains the silk loses: silk = −8.0 × 10⁻¹⁰ C. n = (8.0 × 10⁻¹⁰)/(1.6 × 10⁻¹⁹) = 5.0 × 10⁹ electrons, moving from the rod to the silk, which leaves the rod positive (NCERT Chapter 1, pages 3–4).
Why A is wrong: A is wrong because both bodies would then be positive and the total would be +1.6 × 10⁻⁹ C from a neutral start; conservation requires the silk to be negative.
Why C is wrong: C is wrong because electrons arriving at the rod would make it negative; the rod is positive, so electrons left it.
Why D is wrong: D is wrong because NCERT states no new charge is created in rubbing; the rod's charge comes from losing electrons to the silk.
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Given
10⁹ electrons move out of a body to another body every second. Charge on an electron: magnitude e = 1.6 × 10⁻¹⁹ C.
Required
The time needed for the other body to collect a total charge of 1 C (magnitude).
Concept
Quantisation: charge moves in whole units of e, so the charge transferred per second is (number of electrons per second) × e. Charge accumulates steadily, so time = total charge ÷ charge per second.
Formula
q = ne; charge per second = (10⁹ s⁻¹) × e; t = Q ÷ (charge per second).
Substitution
Charge per second = 1.6 × 10⁻¹⁹ C × 10⁹ = 1.6 × 10⁻¹⁰ C/s
t = 1 C ÷ (1.6 × 10⁻¹⁰ C/s)
Calculation
t = 6.25 × 10⁹ s
In years: 6.25 × 10⁹ ÷ (365 × 24 × 3600) = 198 years
The factors 365, 24 and 3600 are exact conversion counts and the 10⁹ electrons per second is a count set by the problem; they do not limit the significant figures. NCERT keeps 198 years and then rounds it to "approximately 200 years".
Final answer
About 6.25 × 10⁹ s, which is 198 years (roughly 200 years). One coulomb is a very large unit for many practical purposes.
Common trap
Multiplying 1 C by the charge per second (giving 1.6 × 10⁻¹⁰, a meaningless "time"), or dividing by the number of electrons alone (1/10⁹ = 10⁻⁹ s) and forgetting that each electron carries only 1.6 × 10⁻¹⁹ C. Check the units: C ÷ (C/s) gives seconds.
Similar NEET-style question
"If 2.0 × 10¹⁰ electrons are transferred from one body to another every second, how long does it take for the charge on the receiving body to reach a magnitude of 3.2 × 10⁻⁶ C? (e = 1.6 × 10⁻¹⁹ C)"
Strategy: charge per second = 2.0 × 10¹⁰ × 1.6 × 10⁻¹⁹ = 3.2 × 10⁻⁹ C/s; t = 3.2 × 10⁻⁶ ÷ 3.2 × 10⁻⁹ = 1.0 × 10³ s. The receiving body gains electrons, so its charge is negative.
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Electric charge is neither created nor destroyed in any isolated system; total charge is conserved. Charge is quantised in integer multiples of e = 1.6 × 10⁻¹⁹ C.
-- NCERT Class 12 Physics, Ch. 1, p. 4More in Electrostatics: 3 exam traps and mistakes · 11 formulas · 6 question patterns from its other lessons.
Page numbers are the ones printed in the current NCERT textbook (2023 rationalised edition), unless marked pre-2023. The books are free at ncert.nic.in.
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