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Q. A proton is released from rest in a uniform electric field of magnitude $8.0\times 10^{4}\, V/m$, directed along positive $x$-axis. The proton undergoes a displacement of $0.30\,m$ in the direction of the field. What is the change in electric potential of the proton as a result of this displacement?

AMUAMU 2015Electrostatic Potential and Capacitance

Solution:

Electric field of magnitude $8.0 \times 10^{4} V / m$
Displacement $=$ $0.30\, m$
Therefore, change in electric potential $=-E d$
$=-\left(8 \times 10^{4}\right)(0.30)$
$=-2.4 \times 10^{4} V$