Electric Potential
Q. What is the electric potential at a point due to a point charge?
A.
kQ/r
B.
Q/(4πε₀r²)
C.
kQ/(4πε₀r)
D.
Q/(4πr²)
Show solution
Solution
The electric potential V at a distance r from a point charge Q is given by V = kQ/r, where k is Coulomb's constant.
Correct Answer: A — kQ/r
Learn More →
Q. What is the electric potential at a point due to a positive point charge?
A.
Zero
B.
Positive
C.
Negative
D.
Depends on distance
Show solution
Solution
The electric potential due to a positive point charge is positive and decreases with distance from the charge.
Correct Answer: B — Positive
Learn More →
Q. What is the electric potential at a point in space where the electric field is zero?
A.
Zero
B.
Positive
C.
Negative
D.
Undefined
Show solution
Solution
The electric potential can be positive or negative; it is not necessarily zero when the electric field is zero.
Correct Answer: B — Positive
Learn More →
Q. What is the electric potential due to a dipole at a point along the axial line at a distance 'r' from the center of the dipole?
A.
0
B.
k * p / r²
C.
k * p / r
D.
k * p / 2r
Show solution
Solution
The potential V = k * p / r, where p is the dipole moment.
Correct Answer: C — k * p / r
Learn More →
Q. What is the electric potential due to a point charge of 5 μC at a distance of 2 m?
A.
0 V
B.
2250 V
C.
1125 V
D.
4500 V
Show solution
Solution
Electric potential V = k * q / r = (9 × 10^9 N m²/C²) * (5 × 10^-6 C) / (2 m) = 2250 V.
Correct Answer: B — 2250 V
Learn More →
Q. What is the electric potential energy of a charge of 1 C at a point where the electric potential is 10 V?
A.
10 J
B.
1 J
C.
0 J
D.
100 J
Show solution
Solution
Electric potential energy U = q * V = 1 C * 10 V = 10 J.
Correct Answer: A — 10 J
Learn More →
Q. What is the electric potential energy of a charge of 1 C placed in an electric field of 10 N/C at a distance of 2 m?
A.
20 J
B.
10 J
C.
5 J
D.
2 J
Show solution
Solution
Electric potential energy U = q * V = q * E * d = 1 C * 10 N/C * 2 m = 20 J.
Correct Answer: A — 20 J
Learn More →
Q. What is the electric potential energy of a charge of 1 μC placed in an electric potential of 200 V?
A.
0.2 mJ
B.
0.1 mJ
C.
0.4 mJ
D.
0.5 mJ
Show solution
Solution
Electric potential energy U = q * V = 1 × 10^-6 C * 200 V = 0.2 mJ.
Correct Answer: A — 0.2 mJ
Learn More →
Q. What is the electric potential energy of a system of two charges +q and -q separated by a distance r?
A.
0
B.
kq²/r
C.
-kq²/r
D.
kq/r
Show solution
Solution
The electric potential energy U = k(q1*q2)/r = k(+q*-q)/r = -kq²/r.
Correct Answer: C — -kq²/r
Learn More →
Q. What is the electric potential energy of a system of two charges of +2 μC and -2 μC separated by 0.5 m?
A.
-72 J
B.
72 J
C.
0 J
D.
-36 J
Show solution
Solution
U = k * (q1 * q2) / r = (9 × 10^9 N m²/C²) * (2 × 10^-6 C * -2 × 10^-6 C) / 0.5 m = -72 J.
Correct Answer: D — -36 J
Learn More →
Q. What is the electric potential energy of a system of two point charges Q1 and Q2 separated by a distance r?
A.
kQ1Q2/r
B.
kQ1Q2/2r
C.
kQ1Q2/r²
D.
kQ1Q2
Show solution
Solution
The electric potential energy U of a system of two point charges is given by U = kQ1Q2/r.
Correct Answer: A — kQ1Q2/r
Learn More →
Q. What is the potential at a distance of 1 m from a dipole with a dipole moment of 2 × 10^-9 C·m?
A.
0 V
B.
1 V
C.
2 V
D.
4 V
Show solution
Solution
Potential due to a dipole V = (1/4πε₀) * (p * cosθ) / r². At 1 m, it is negligible.
Correct Answer: A — 0 V
Learn More →
Q. What is the potential difference across a 5 Ω resistor carrying a current of 2 A?
A.
10 V
B.
5 V
C.
2 V
D.
0 V
Show solution
Solution
Using Ohm's law, V = I * R = 2 A * 5 Ω = 10 V.
Correct Answer: A — 10 V
Learn More →
Q. What is the potential difference between two points A and B if the electric field is 5 N/C and the distance between them is 3 m?
A.
15 V
B.
5 V
C.
3 V
D.
0 V
Show solution
Solution
Potential difference V = E * d = 5 N/C * 3 m = 15 V.
Correct Answer: A — 15 V
Learn More →
Q. What is the potential difference between two points in an electric field if the work done in moving a charge of 3 C from one point to another is 15 J?
A.
5 V
B.
10 V
C.
15 V
D.
20 V
Show solution
Solution
Potential difference V = Work done / Charge = 15 J / 3 C = 5 V.
Correct Answer: B — 10 V
Learn More →
Q. What is the potential energy of a charge q placed in an electric potential V?
A.
qV
B.
q/V
C.
V/q
D.
q²V
Show solution
Solution
The potential energy U of a charge q in an electric potential V is given by U = qV.
Correct Answer: A — qV
Learn More →
Q. What is the potential energy of a system of two point charges +q and -q separated by a distance r?
A.
0
B.
kq²/r
C.
-kq²/r
D.
kq/r
Show solution
Solution
The potential energy U of a system of two point charges is given by U = k(q1q2)/r = -kq²/r for +q and -q.
Correct Answer: C — -kq²/r
Learn More →
Q. What is the relationship between electric field E and electric potential V?
A.
E = -dV/dx
B.
E = dV/dx
C.
E = V/d
D.
E = -V/d
Show solution
Solution
The electric field E is the negative gradient of the electric potential V, given by E = -dV/dx.
Correct Answer: A — E = -dV/dx
Learn More →
Q. What is the relationship between electric potential (V) and electric field (E) in a uniform field?
A.
V = E × d
B.
V = E/d
C.
E = V × d
D.
E = V/d
Show solution
Solution
In a uniform electric field, the electric potential difference V is given by V = E × d, where d is the distance moved in the direction of the field.
Correct Answer: A — V = E × d
Learn More →
Q. What is the relationship between electric potential and electric field?
A.
E = -dV/dx
B.
E = dV/dx
C.
E = V/d
D.
E = -V/d
Show solution
Solution
The electric field E is the negative gradient of the electric potential V, expressed as E = -dV/dx.
Correct Answer: A — E = -dV/dx
Learn More →
Q. What is the unit of electric potential?
A.
Coulomb
B.
Volt
C.
Joule
D.
Newton
Show solution
Solution
The unit of electric potential is the Volt (V), which is defined as one Joule per Coulomb.
Correct Answer: B — Volt
Learn More →
Q. What is the work done in moving a charge of 2 μC from a point at 50 V to a point at 100 V?
A.
0.1 mJ
B.
0.2 mJ
C.
0.3 mJ
D.
0.4 mJ
Show solution
Solution
Work done W = q * ΔV = 2 × 10^-6 C * (100 V - 50 V) = 2 × 10^-6 * 50 = 0.1 mJ.
Correct Answer: B — 0.2 mJ
Learn More →
Q. What is the work done in moving a charge of 2 μC from a point at 50 V to another at 100 V?
A.
100 μJ
B.
200 μJ
C.
150 μJ
D.
50 μJ
Show solution
Solution
Work done W = q * ΔV = (2 × 10^-6 C) * (100 V - 50 V) = 100 μJ.
Correct Answer: B — 200 μJ
Learn More →
Q. Which of the following statements is true about equipotential surfaces?
A.
They are always parallel to each other
B.
No work is done moving a charge along them
C.
They can intersect
D.
They are always spherical
Show solution
Solution
No work is done when moving a charge along an equipotential surface because the potential is constant.
Correct Answer: B — No work is done moving a charge along them
Learn More →
Showing 61 to 84 of 84 (3 Pages)
