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Which of the following is the heat generated while transferring $96000 coulomb$ of charge in one hour through a potential difference of $50 V$ ?

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3.8 \times 1 0^{6} J

5.8 \times 1 0^{6} J

4.8 \times 1 0^{6} J

None of the above

answer is C.

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Detailed Solution

The heat generated while transferring

96000 coulombs

of charge in one hour through a
potential difference of

50 V

is given by

4.8 \times 1 0^{6}

J.
Given
Potential difference

= 50 V .

Charge

= 9600 C

Time

= 1 hr

\Rightarrow

Time

= 3600 s

The heat generated can be computed by Joule’s law as follows:

H = V \times I \times t - - - (1)

where,

V

is the voltage,

V = 50 V

I

is the current

t

is the time in seconds,

1 hour = 3600 seconds

Electric current is given by

I = \frac{Charge}{Time}

I = \frac{96000}{3600}

I = \frac{80}{3} A

Put all the values in equation 1,

H = 50 \times \frac{80}{3} \times 60 \times 60

= 4800000 J

= 4.8 \times 1 0^{6} J

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