If it takes 50 J of energy to move 10 C of charge from point A to point B, what is the magnitude of the potential difference between points A and B?

Question

If it takes 50 J of energy to move 10 C  of charge from point A to point B, what is the magnitude of the potential difference between points A and B?

BlackTom AI · Accepted Answer

To tackle this, let's note the relation between energy, charge, and potential difference: V = W/Q. Here W = 50 J and Q = 10 C. 
Option A: '0.50 V' would correspond to 5 J per coulomb, which doesn't match the given energy for the 10 C transfer, so this is incorrect. 
Option B: '50 V' would require W = V*Q = 50 V * 10 C = 500 J, which is not what the problem states; thus incorrect. 
Option C: '5.0 V' directly aligns with V = W/Q = 50 J / 10 C = 5 V; this is consistent with the numbers, so this option correctly represents the potential difference. 
Option D: '500 V' would require W = 500 V * 10 C = 5000 J, far from the given 50 J, so incorrect. 
Thus, the value that matches the basic definition of electric potential difference is 5.0 V.

If it takes 50 J of energy to move 10 C of charge from point A to point B, what is the magnitude of the potential difference between points A and B?Single choice

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