Question

200 J of heat is produced each second in a 4 ohm resistor. Find the potential difference across resistor.

Answer 1

Answer:

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Answer 2

Answer:

The potential difference across the resistor, V, calculated is $28.28V$.

Explanation:

Data given,

The heat produced in a resistor, H = $200J$

The resistor's resistance, R = $4\Omega$

The given time, t = $1sec$

The potential difference across the given resistor, V =?

As we know,

• The potential difference is the product of resistance ( R ) and the current flow ( I ).
• $V = IR$       -------equation (1)

For this, we have to find out the value of current from the equation given below:

• $H = I^{2} Rt$
• $I = \sqrt{\frac{H}{Rt} }$
• $I = \sqrt{\frac{200}{4 (1)} }$
• $I = \sqrt{50 }$ = $7.07A$

Now, after putting the value of current in equation (1), we get:

• $V = 7.07 \times 4$
• V = $28.28V$

Hence, the potential difference across the resistor, V = $28.28V$.