A hard rubber rod with an electric potential energy of 5.2 × 10–3 J has a charge of 4.0 µC at the tip. What is the electric pote

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A hard rubber rod with an electric potential energy of 5.2 × 10–3 J has a charge of 4.0 µC at the tip. What is the electric pote

ntial at the tip? Round your answer to one decimal place. × 103 V What is the electric potential if the charge at the tip changes to 2.0 µC? Round your answer to one decimal place. × 103 V

Physics

2 answers:

Keith_Richards [3.2K] · Answer 1 · 2026-03-15T13:57:38+03:00

1) The electric potential energy can be defined as the product of the electric potential and the associated charge:
$U=q V$
where
q refers to the charge
V denotes the electric potential

In this scenario, the charge on the rod is $q=4.0 \mu C = 4.0 \cdot 10^{-6}C$ , and the potential energy is $U=5.2 \cdot 10^{-3} J$ , thus we may rearrange the earlier formula to find the electric potential at the tip:
$V= \frac{U}{q}= \frac{5.2 \cdot 10^{-3}J}{4.0 \cdot 10^{-6} C}=1300 V=1.3 \cdot 10^3 V$

2) Using this same formula, if the charge changes to $q=2.0 \mu C = 2.0 \cdot 10^{-6} C$ , the resulting electric potential will be:
$V= \frac{U}{q}= \frac{5.2 \cdot 10^{-3} J}{2.0 \cdot 10^{-6}C}=2600 V = 2.6 \cdot 10^{3}V$