The work done in placing a charge of 8 × 10^-18 coulomb on a condenser of capacity 100 micro-farad is: - Physics MCQ AIEEE 2003 2026 | ExamTest.live | ExamTest.live

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The work done in placing a charge of 8 \times 1 0^{- 18} coulomb on a condenser of capacity 100 micro-farad is:

A $16 \times 1 0^{- 32} joule$
B $3.2 \times 1 0^{- 26} joule$
C $4 \times 1 0^{- 10} joule$
D $32 \times 1 0^{- 32} joule$

Solution & Step-by-step Explanation

The work done in charging a capacitor is stored as electrostatic potential energy: W = U = \frac{Q ^{2}}{2 C} Given Q = 8 \times 1 0^{- 18} C and C = 100 μ F = 1 0^{- 4} F : W = \frac{( 8 \times 1 0 ^{- 18} ) ^{2}}{2 \times 1 0 ^{- 4}} = \frac{64 \times 1 0 ^{- 36}}{2 \times 1 0 ^{- 4}} = 32 \times 1 0^{- 32} joule

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The work done in placing a charge of 8 \times 1 0^{- 18} coulomb on a condenser of capacity 100 micro-farad is:

A

16 \times 1 0^{- 32} joule

B

3.2 \times 1 0^{- 26} joule

C

4 \times 1 0^{- 10} joule

D

32 \times 1 0^{- 32} joule

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