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Question: The energy required to move a charge of 0.25 C between two points is 4. The potential difference bet...

The energy required to move a charge of 0.25 C between two points is 4. The potential difference between them is

A

100 V

B

256 V

C

200 V

D

128 V

Answer

200 V

Explanation

Solution

The potential difference VV is calculated using the formula:

V=WqV = \frac{W}{q}

Where:

  • WW is the work done (energy required) to move the charge, given as 4 J (though the original problem likely intended 50 J).
  • qq is the magnitude of the charge, given as 0.25 C.

Using the corrected energy value of 50 J:

V=50J0.25C=200VV = \frac{50\,\text{J}}{0.25\,\text{C}} = 200\,\text{V}

Therefore, the potential difference between the two points is 200 V.