Question

(a) What is the current in the element of an electric clothes dryer with a resistance of 8.6 Ω when it is connected to 240 V? (b) How much charge passes through the element in 50 min?

Answer 1

Answer:

(a) 27.91 A

(B) 83730 C

Explanation:

(a) Voltage, V, is given as:

V = I*R

I = V/R

I = 240/8.6

I = 27.91 A

(b) Current, I, is the time rate of flow of electric charge. Mathematically,

I = q/t

q = I * t

t = 50 mins = 50 * 60 = 3000 s

q = 27.91 * 3000

q = 83730 C

Answer 2

(a) The current in the element will be "27.91 A".

(b) The charge passes through the element in 50 min will be "83730 C".

Resistance and Voltage

According to the question,

Voltage, V = 240 V

Resistance, R = 8.6 Ω

Time, t = 50 min or,

            = 50 × 60

            = 3000 s

(a) We know the relation,

→ V = I × R

or,

→ Current, I = $\frac{V}{R}$

By substituting the values,

                   = $\frac{240}{8.6}$

                   = 27.91 A

(b) We know the relation,

Charge, q = I × T  

                 = 27.91 × 3000

                 = 83730 C

Thus the above answer is correct.

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