Question

A potential difference of 6 V is causing
electrons to flow through a conductor such
that 15 x 1020 electrons pass a cross-section in
the conductor in 2 minutes. The electric current
through the conductor is-​

Answer 1

Given :

Potential difference = 6V

No. of electrons = 15 × 10²⁰

Time interval = 2 min

To Find :

Electric current passing through the conductor.

Solution :

■ First of all we need to find amount of charge which flows in the conductor.

As per law of charge quantization;

➙ Q = n × e

• Q denotes charge
• n denotes number of electrons
• e denotes charge of electron

➙ Q = (15 × 10²⁰) × (1.6 × $\sf{10^{-19}}$)

➙ Q = 24 × 10

➙ Q = 240C

■ We know that, electric current is defined as the rate of charge flow per unit time.

• It is a scalar quantity having only magnitude.
• SI unit : A (ampere)

➠ I = Q / t

➠ I = 240C / 2min

➠ I = 240C / 120s

➠ I = 2A

Answer 2

Explanation:

Potential difference = 6V

No. of electrons = 15 × 10²⁰

Time interval = 2 min

To Find :

Electric current passing through the conductor.

Solution :

■ First of all we need to find amount of charge which flows in the conductor.

As per law of charge quantization;

➙ Q = n × e

Q denotes charge

n denotes number of electrons

e denotes charge of electron

➙ Q = (15 × 10²⁰) × (1.6 × \sf{10^{-19}}10

−19

)

➙ Q = 24 × 10

➙ Q = 240C

■ We know that, electric current is defined as the rate of charge flow per unit time.

It is a scalar quantity having only magnitude.

SI unit : A (ampere)

➠ I = Q / t

➠ I = 240C / 2min

➠ I = 240C / 120s

➠ I = 2A