The change in electric potential energy (Delta PE) can be calculated using. Delt

Question

The change in electric potential energy (Delta PE) can be calculated using. Delta PE = q Delta V where q is the charge, and delta V is the potential difference through which the charge moves. Rank the change in electric potential energies for the situations described below from lowest to highest. Situation 1: a charge Q moving through a potential difference of V_c. Situation 2: a charge 4 Q moving through a potential difference of V_c. Situation 3: a charge Q moving through a potential difference of V_c/4. Situation 4: a charge Q/4 moving through a potential difference of V_c/4. Situation 5: a charge 4Q moving through a potential difference of 4V_c.

Explanation / Answer

Given that

PE = Q*dV

S1:

PE1 - Q*V

S2

PE2 = 4Q*V

S3:

PE3 = Q*V/4

S4:

PE4 = (Q/4)*(V/4) = Q*V/16

S5:

PE5 = 4Q*4V = 16*Q*V

Now we can see that:

Lowest = Q*V/16,

Highest = 16*Q*V

Order = S4 < S3 < S1 < S2 < S5

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