Q1. A charge of +4 µC is placed in a uniform electric field of strength 500 N/C. What is the work done in moving the charge 0.2 m in the direction of the field?
Solution:
W = F * d = (E * q) * d = (500 N/C * 4 × 10^-6 C) * 0.2 m = 0.4 J.
⏱ Time: 0s
Q2. What is the capacitance of a capacitor that stores 10 µC of charge at a potential difference of 5 V?
Solution:
C = Q/V = 10 × 10^-6 C / 5 V = 2 × 10^-6 F = 2 µF.
⏱ Time: 0s
Q3. If two charges +Q and -Q are placed at a distance 'd' apart, what is the electric field at the midpoint? (2020)
Solution:
At the midpoint, the electric fields due to +Q and -Q cancel each other out, resulting in a net electric field of 0.
⏱ Time: 0s
Q4. If a charge of 5 μC is placed in an electric field of 2000 N/C, what is the force experienced by the charge? (2023)
Solution:
The force (F) on a charge in an electric field is given by F = qE. Here, F = 5 × 10^-6 C * 2000 N/C = 10 N.
⏱ Time: 0s
Q5. A dipole is placed in a uniform electric field. What is the torque experienced by the dipole? (2023)
Solution:
The torque (τ) experienced by a dipole in a uniform electric field is given by τ = pE sin(θ), where p is the dipole moment and θ is the angle between p and E.
⏱ Time: 0s
Q6. If a charge of +2μC is placed in an electric field of strength 1000 N/C, what is the force acting on the charge? (2023)
Solution:
The force (F) on a charge in an electric field is given by F = qE. Here, F = (2 * 10^-6 C)(1000 N/C) = 2 N.
⏱ Time: 0s
Q7. What is the force between two charges of +2μC and -3μC separated by 0.5m? (2022)
Solution:
Using Coulomb's law, F = k * |q1 * q2| / r^2 = (9 × 10^9) * (2 × 10^-6) * (3 × 10^-6) / (0.5)^2 = 0.24 N.
⏱ Time: 0s
Q8. A dipole consists of two equal and opposite charges separated by a distance 'd'. What is the dipole moment? (2023)
Solution:
The dipole moment (p) is defined as p = qd, where q is the charge and d is the separation distance.
⏱ Time: 0s
Q9. If a charge of +2μC is placed in an electric field of 500 N/C, what is the force experienced by the charge? (2022)
Solution:
The force (F) on a charge in an electric field is given by F = qE. Here, F = 2μC * 500 N/C = 1000 N.
⏱ Time: 0s
Q10. If the electric field at a point is 1000 N/C and the charge at that point is 5 µC, what is the force experienced by the charge?
