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Question
In the following circuits (Figure), heat produced in the resistor or combination of resistors connected to a 12 V battery will be
 |
 |
 |
| (i) | (ii) | (iii) |
Options
same in all the cases
minimum in case (i)
maximum in case (ii)
maximum in case (iii)
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Solution
maximum in case (iii)
Explanation -
Heat produced in time (t) is given by
Heat (H) = `"V"^2/"R" xx "t"`
where, V = potential difference
R = Net resistance of the circuit
t = time
`"R"_(1"net") = 2Ω`
`"R"_(2"net") = 2Ω + 2Ω = 4Ω`
`"R"_(3"net") = (2xx2)/(2+2) = 1Ω`
Since, R3net is minimum so heat produced will be maximum in case (iii).
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