01․ If 1 A current flows in a circuit, the number of electrons flowing through this circuit is

The charge of one electron is 1.6 × 10

^{ - 19}coulomb. Again 1 A current means transferring of 1 coulomb charge per one second.02․ The resistivity of the conductor depends on

The resistivity is a property of a material, defined as the resistance between two opposite faces of a cube of a material of unit volume. That is why resistivity is only the unique property of a material and it does not depend upon the dimension of any piece of material.
The same can also be explained as
Where, ρ is the resistivity; m and e is the mass and charge of an electron; T is the relaxation time.
All these are properties of a material and independent of length and cross sectional area.

03․ The resistance of a conductor of diameter d and length l is R Ω. If the diameter of the conductor is halved and its length is doubled, the resistance will be

As per law of resistance, the resistance of the conductor is inversely proportional to its cross-sectional area i.e. it is inversely proportional to the square of the diameter of cross-sectional area of the conductor. As per same law of resistance, the resistance of the conductor is directly proportional to the length of the conductor.

04․ How many coulombs of charge flow through a circuit carrying a current of 10 A in 1 minute?

1 Ampere current means flowing of 1 Coulomb charge per second. That means 10 A current in 1 minute or 60 seconds implies 10 × 60 = 600 coulombs.

05․ A capacitor carries a charge of 0.1 C at 5 V. Its capacitance is

The capacitance of a capacitor is expressed by Q/V. Where Q is the charge of the capacitor and V is the voltage across the capacitor.

06․ To obtain a high value of capacitance, the permittivity of dielectric medium should be

The expression of capacitance is given as
Where ε is the permittivity of the medium. Hence it is seen that the capacitance of a capacitor is directly proportional to the permittivity of the medium used as dielectric. Therefore to obtain a high value of capacitance, the permittivity of dielectric medium should be high.

07․ Four capacitors each of 40 µF are connected in parallel, the equivalent capacitance of the system will be

The impedance of a capacitor is inversely proportional to its capacitance value. Reciprocal of equivalent impedance of parallel connected circuit elements is sum of reciprocal of impedance of each of the elements.

08․ Five capacitors each of 5 µF are connected in series, the equivalent capacitance of the system will be

When numbers of circuit elements are connected in series, the impedance of equivalent combination is sum of impedance of all elements in series. Again, capacitance is inversely proportional to impedance. Hence, when capacitors are connected in series

09․ 1 F is theoretically equal to

1 Farad capacitance is defined as the capacity of dielectric medium to store 1 Coulomb charge when 1 Volt potential difference is applied across it. Thus, capacitance is expressed as the ratio of charge to voltage (Q = CV).

10․ The unit of resistivity is