JEE MAIN - Physics (2020 - 8th January Morning Slot - No. 11)
At time t = 0 magnetic field of 1000 Gauss is
passing perpendicularly through the area
defined by the closed loop shown in the figure.
If the magnetic field reduces linearly to
500 Gauss, in the next 5s, then induced EMF
in the loop is :
_8th_January_Morning_Slot_en_11_1.png)
48 μV
28 μV
56 μV
36 μV
Explanation
Area of loop = ( 16 × 4 – 2 × Area of triangle) cm2
= $$\left( {64 - 2 \times {1 \over 2} \times 2 \times 4} \right)$$ cm2
= 56 × 10–4 m2
Using faraday law Induced EMF
|$$\varepsilon $$|$$ = |- A{{dB} \over {dt}}$$|
= 56 × 10–4 $$ \times $$ $${{\left( {1000 - 500} \right)} \over 5} \times {10^{ - 4}}$$
= 56 × 10–6 V = 56 $$\mu $$V
= $$\left( {64 - 2 \times {1 \over 2} \times 2 \times 4} \right)$$ cm2
= 56 × 10–4 m2
Using faraday law Induced EMF
|$$\varepsilon $$|$$ = |- A{{dB} \over {dt}}$$|
= 56 × 10–4 $$ \times $$ $${{\left( {1000 - 500} \right)} \over 5} \times {10^{ - 4}}$$
= 56 × 10–6 V = 56 $$\mu $$V
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