Scalar Addition of Electric Potential MCQ Questions and Answers
1. The electric potential at a point due to several point charges is calculated by:
A. Adding the electric potentials algebraically
B. Adding only the magnitudes of the charges
C. Multiplying all individual potentials
D. Adding the electric fields vectorially
Correct Answer:
Adding the electric potentials algebraically
Explanation:
Electric potential is a scalar quantity, so the total potential is the algebraic sum of the potentials produced by all individual charges.
2. Two charges produce potentials of +5 V and +3 V at a point. What is the total electric potential at that point?
A. +2 V
B. +8 V
C. -2 V
D. -8 V
Correct Answer:
+8 V
Explanation:
The potentials are both positive, so they are added algebraically: V = 5 V + 3 V = 8 V.
3. At a point, two charges produce potentials of +10 V and -4 V. What is the resultant potential?
A. +14 V
B. -14 V
C. +6 V
D. -6 V
Correct Answer:
+6 V
Explanation:
The total potential is the algebraic sum: V = (+10 V) + (-4 V) = +6 V.
4. A point is at a potential of -7 V due to one charge and -2 V due to another charge. What is the total potential?
A. -9 V
B. -5 V
C. +5 V
D. +9 V
Correct Answer:
-9 V
Explanation:
Both individual potentials are negative, so their algebraic sum is V = -7 V - 2 V = -9 V.
5. If two equal positive point charges are placed symmetrically about a point, and each produces a potential V at that point, the total potential is:
A. Zero
B. V
C. 2V
D. V divided by 2
Correct Answer:
2V
Explanation:
Potential is a scalar, so the two equal contributions add directly: V_total = V + V = 2V.
6. A charge produces an electric potential of 12 V at a point. Another charge produces -12 V at the same point. What is the total potential?
A. +24 V
B. -24 V
C. 0 V
D. +12 V
Correct Answer:
0 V
Explanation:
The equal and opposite scalar potentials cancel: V_total = (+12 V) + (-12 V) = 0 V.
7. Three charges produce potentials of 2 V, 4 V, and 6 V at a point. What is the total potential?
A. 4 V
B. 8 V
C. 10 V
D. 12 V
Correct Answer:
12 V
Explanation:
The total potential is the sum of all individual potentials: V_total = 2 V + 4 V + 6 V = 12 V.
8. A positive charge produces +9 V and a negative charge produces -3 V at a point. The total potential at the point is:
A. +12 V
B. +6 V
C. -6 V
D. -12 V
Correct Answer:
+6 V
Explanation:
Using algebraic addition, V_total = (+9 V) + (-3 V) = +6 V.
9. If the potentials due to four charges at a point are +2 V, -1 V, +5 V, and -3 V, what is the resultant potential?
A. +3 V
B. +5 V
C. -3 V
D. -5 V
Correct Answer:
+3 V
Explanation:
Adding the scalar potentials gives V_total = 2 V - 1 V + 5 V - 3 V = 3 V.
10. The electric potential at a point due to a charge q is V. If another identical charge is placed at the same distance and also produces V at that point, the combined potential is:
A. V divided by 2
B. V
C. 2V
D. V squared
Correct Answer:
2V
Explanation:
The potentials from identical charges are scalar quantities and add directly, giving V_total = V + V = 2V.
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