physics : class12 Scalar Addition of Electric Potential : Superposition Principle : Electrostatics MCQ Questions and Answers
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Scalar Addition of Electric Potential
MCQ questions and answers.
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MCQ Questions
1. The electric potential at a point due to several point charges is calculated by:
A.
Adding the potentials algebraically
B.
Adding the electric fields vectorially
C.
Multiplying all individual potentials
D.
Adding only the positive potentials
Correct Answer:
Adding the potentials algebraically
Explanation:
Electric potential is a scalar quantity, so the total potential is the algebraic sum of the potentials due to all charges: V = V1 + V2 + V3 + ...
2. Two charges produce potentials of +5 V and +3 V at a point. What is the total potential at that point?
A.
+2 V
B.
+8 V
C.
-2 V
D.
-8 V
Correct Answer:
+8 V
Explanation:
Potentials are added algebraically. Therefore, the total potential is +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:
Since potential is a scalar, add the signed values: V = +10 V - 4 V = +6 V.
4. A charge of +2 C and a charge of -2 C produce equal-magnitude potentials at a point. What is their combined potential there?
A.
Twice the positive potential
B.
Twice the negative potential
C.
Zero
D.
The average of the two potentials
Correct Answer:
Zero
Explanation:
The potentials have equal magnitudes but opposite signs, so their algebraic sum is zero.
5. The potentials at a point due to three charges are 2 V, -5 V, and 7 V. What is the total potential?
A.
4 V
B.
10 V
C.
-10 V
D.
0 V
Correct Answer:
4 V
Explanation:
The total potential is the scalar sum: 2 V + (-5 V) + 7 V = 4 V.
6. If the potential due to one charge at a point is 12 V and the potential due to another charge is -12 V, the total potential is:
A.
24 V
B.
-24 V
C.
12 V
D.
0 V
Correct Answer:
0 V
Explanation:
Equal and opposite scalar potentials cancel when added algebraically, giving a total potential of 0 V.
7. At a point, four identical charges each produce a potential of 3 V. What is the total potential?
A.
3 V
B.
7 V
C.
12 V
D.
81 V
Correct Answer:
12 V
Explanation:
The total potential is the sum of the four individual potentials: 3 V + 3 V + 3 V + 3 V = 12 V.
8. The electric potential at a point due to a charge q is V. If another identical charge is placed at the same distance and produces the same potential, the total potential becomes:
A.
V/2
B.
V
C.
2V
D.
V squared
Correct Answer:
2V
Explanation:
The two equal scalar potentials add directly, so the total potential is V + V = 2V.
9. A point has potentials of -3 V, -2 V, and +1 V due to three charges. What is the resultant potential?
A.
-4 V
B.
0 V
C.
+4 V
D.
-6 V
Correct Answer:
-4 V
Explanation:
Adding the potentials algebraically gives -3 V + (-2 V) + 1 V = -4 V.
10. Which expression represents the total electric potential at a point due to two point charges?
A.
V = V1 - V2 for all charges
B.
V = V1 + V2
C.
V = V1 × V2
D.
V = V1/V2
Correct Answer:
V = V1 + V2
Explanation:
By the superposition principle for electric potential, the total potential is the algebraic sum of the individual potentials.