Question

-10) In the following circuits, heat produced in the resistor or combination of
resistors connected to a 12V battery will be
​

Answer 1

The value of net resistance is minimum in case (iii).

Explanation:

Net resistance in case (1) = R1 = 2 Ω

Net resistance in case (2) = R2 = 2 + 2 = 4  Ω

Net resistance in case (3) =1/ R3 = 1/2 + 1/2 = 1   Ω

Since H = (Potential difference)V^2 / Total Resistance R  x time

As voltage in the three cases for equivalent resistance is same.

Thus H ∝ 1 / R

Now value of net resistance is minimum in case (iii)

So heat produced will be maximum.

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Resistance of a metal wire of length 5 m is 100 ohm if the area of cross section of the wire is 3 ×10^7 m^2 equal calculate the resistivity of the metal ?

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Answer 2

Answer: maximum  in case 3

Explanation:

Heat =$\frac{V^{2} }{R}$x T

Case 1

H = 72J

Case 2

H = 36J

Case 3

H = 144J

hence heat is maximum in case 3

Note: H ∝ R holds true if the current is the same in all the cases