Electrostatics

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Q1. 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.

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Q2. 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.

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Q3. If two identical capacitors of 4 µF each are connected in series, what is the equivalent capacitance?

Solution:

C_eq = 1 / (1/C1 + 1/C2) = 1 / (1/4 + 1/4) = 2 µF.

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Q4. What is the effect of a dielectric material on the capacitance of a capacitor? (2023)

Solution:

Inserting a dielectric material increases the capacitance of a capacitor by reducing the electric field within it.

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Q5. In a parallel plate capacitor, if the distance between the plates is increased, what happens to the capacitance? (2022)

Solution:

The capacitance (C) of a parallel plate capacitor is inversely proportional to the distance (d) between the plates. If d increases, C decreases.

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Q6. 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?

Solution:

F = E * q = 1000 N/C * 5 × 10^-6 C = 0.005 N.

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Q7. 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.

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Q8. What is the electric potential at a point due to a charge Q at a distance r? (2021)

Solution:

The electric potential (V) at a distance r from a point charge Q is given by V = kQ/r.

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Q9. What is the electric field due to a point charge of +3 µC at a distance of 0.3 m?

Solution:

E = k * |q| / r^2 = (9 × 10^9) * (3 × 10^-6) / (0.3)^2 = 90 N/C.

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Q10. If a charge of +2μC is placed in an electric field of 1000 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 = 2μC * 1000 N/C = 2 N.