Question

NUMERICAL-BASED WORKSHEET
Solve the following Numerical Problems
1. Calculate the current in a circuit if a charge of 600 C passes through it in 20 minutes.
of an X-ray tube. How many electrons are crossing a e​

Answer 1

Answer:

• Current = 0.5 Ampere
• Number of electrons = 3.75 × ²¹

Explanation:

Given:-

• Charge ,Q = 600 C
• Time taken ,t = 20 min = 20×60 = 1200 s

To Find:-

• Current ,I
• Number of electrons ,n

Solution:-

As we have to calculate the current flow through the circuit.

Current is defined as the rate of flow of charges per unit time.

• I = Q/t

Substitute the value we get

→ I = 600/1200

→ I = 1/2

→ I = 0.5 A

• Hence, the current flow through the circuit is 0.5 Ampere.

Now ,we have to calculate the number of electrons .

As we know that the charge of electrons is 1.6 × 10⁻¹⁹ c

using Formula

• Q = ne

substitute the value we get

→ 600 = n × 1.6 × 10⁻¹⁹

→ n = 600/1.6×10⁻¹⁹

→ n = 600 × 10¹⁹/1.6

→ n = 6×10²¹/1.6

→ n = 3.75 × 10²¹ electron.

• Hence, the number of electrons is 3.75 × 10²¹ .

Answer 2

Answer:

Given :-

• Charge = 600 C
• Time = 20 min = 60 × 20 = 1200 sec

To Find :-

• Current
• Number of electrons

Solution :-

As we know that

$\huge \bf \: I = \frac{Q}T$

• I is the Current
• Q is the Charge
• T is the Time

I = 600/1200

I = 1/2

I = 0.5 Ampere

Q = ne

600 = n × 1.6× 10${}^{ - 19}$

n = 600/1.6 × 10 ${}^{-19}$

n = 3.75 × 10²¹

Total Electron = 3.75 × 10²¹