Electro Magnetic Induction And Alternating Currents Question 383

Question: A rectangular coil of 20 turns and area of cross- section 25 sq cm has a resistance of 100 ohm. If a magnetic field which is perpendicular to the plane of the coil changes at the rate of 1000 Tesla per second, the current in the coil is [CBSE PMT 1992; Very Similar to MHCET 2002; DPMT 2004]

Options:

A) 1.0 ampere

B) 50 ampere

C) 0.5 ampere

D) 5.0 ampere

Show Answer

Answer:

Correct Answer: C

Solution:

$ i=\frac{| e |}{R}=\frac{N}{R}.\frac{\Delta B}{\Delta t}A\cos \theta =\frac{20}{100}\times 1000\times (25\times {{10}^{-4}})\cos 0^{o} $
$ \Rightarrow i=0.5\ A $



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