Paheli took a wire of length 10 cm. Boojho took a wire of 5 cm of the same material and thickness. Both of them connected the wires as shown in the circuit given in Figure. The current flowing in both circuits is the same. Will the heat produced in both cases be equal? Explain.

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Solution

Electric circuit
Electric circuits are closed-loop or route systems that consist of a network of electrical components through which electrons can travel. This path is created with electrical lines and is powered by a source such as a battery.
The source is the point where electrons begin to flow, and the return is the point where electrons depart the electrical circuit.
The amount of heat produced in a wire depends on its material, length, and thickness
The amount of heat produced in the wire $H = I^{2} R [w h e r e H = h e a t, I = c u r r e n t, R = r e s i s \tan c e]$
As we know $R = ρ \frac{L}{A} [L = l e n g t h, A = a r e a]$
Therefore we can say that the amount of heat produced in a wire depends upon its length.
Hence, no, the amount of heat produced in both cases will not be equal because the length of the wire decides the amount of heat produced in a wire which is not equal for both the cases.

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