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Electrostatic Potential and Capacitance
Work Done by Electric Field
1 question from 1 paper, each with its answer.
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Concepts tested
- Accelerating potential and kinetic energy
All Questions
2004 AIPMT 1 question
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A bullet of mass 2 g is having a charge of 2 $\mu C$. Through what potential difference must it be accelerated, starting from rest, to acquire a speed of 10 m/s ?Work done by the electric field on the charge = gain in kinetic energy.
Use $qV_{acc} = \dfrac{1}{2}mv^2$
$m = 2$ g $= 2 \times 10^{-3}$ kg, $q = 2\ \mu C = 2 \times 10^{-6}$ C, $v = 10$ m/s
$\dfrac{1}{2}mv^2 = \dfrac{1}{2} \times 2 \times 10^{-3} \times 10^2 = 0.1$ J
$V = \dfrac{0.1}{2 \times 10^{-6}} = 5 \times 10^4$ V
$V = 50$ kV