First slide

Magnetic Flux

Question

Magnetic flux linked with a stationary loop of resistance $10 Ω$ varies with time according to the $ϕ - t$ graph shown in figure. Then total heat generated in the loop is

Moderate

A

2.5 J
B

5 J
C

7.5 J
D

0.5 J

Solution

$ε =$ emf induced $= \frac{10}{2} volt=5$ volt
i = induced current $= \frac{ε}{R} = \frac{5}{10} A = 0.5 A$
H = Total heat generated in 2 sec $= {0.5}^{2} \times 10 \times 2 Joule=5J$

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