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 algebraically
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 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 have the same positive sign, 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:
Electric potential is added algebraically, including its sign: 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. The total potential is:
A.
+9 V
B.
-9 V
C.
+5 V
D.
-5 V
Correct Answer:
-9 V
Explanation:
Both potentials are negative, so their algebraic sum is V = -7 V + (-2 V) = -9 V.
5. If two equal and opposite charges produce potentials +12 V and -12 V at a point, the total potential at that point is:
A.
+24 V
B.
-24 V
C.
0 V
D.
+12 V
Correct Answer:
0 V
Explanation:
The equal positive and negative potentials cancel when added algebraically: V = +12 V - 12 V = 0 V.
6. Three charges produce potentials of +2 V, +4 V, and -1 V at a point. What is the total potential?
A.
+5 V
B.
+7 V
C.
-3 V
D.
-7 V
Correct Answer:
+5 V
Explanation:
The total potential is the algebraic sum: V = +2 V + 4 V - 1 V = +5 V.
7. The potential at a point due to a single charge is 6 V. If another charge produces 6 V at the same point, the total potential is:
A.
0 V
B.
6 V
C.
12 V
D.
36 V
Correct Answer:
12 V
Explanation:
Since electric potential is scalar, the two contributions are added directly: V = 6 V + 6 V = 12 V.
8. A charge contributes -8 V to the potential at a point, while another contributes +3 V. What is the net potential?
A.
-11 V
B.
-5 V
C.
+5 V
D.
+11 V
Correct Answer:
-5 V
Explanation:
Adding the signed potentials gives V = -8 V + 3 V = -5 V.
9. At a point, four charges produce potentials of 1 V, 2 V, 3 V, and 4 V. What is the total potential?
A.
4 V
B.
6 V
C.
10 V
D.
24 V
Correct Answer:
10 V
Explanation:
The scalar potentials are added: V = 1 V + 2 V + 3 V + 4 V = 10 V.
10. Which expression correctly represents the total electric potential at a point due to three charges?
A.
V = V1 + V2 + V3
B.
V = V1V2V3
C.
V = V1 + V2 - V3 always
D.
V = V1 - V2 - V3 always
Correct Answer:
V = V1 + V2 + V3
Explanation:
The total electric potential is the algebraic sum of all individual potentials, with their signs already included in V1, V2, and V3.
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