A rectangular coil of $$300$$ turns has an area of $$25$$ cm×$$10$$ cm. The coil rotates with a speed of $$50$$ cps in a uniform magnetic field of strength $$4$$×$$10$$−$$2T$$ about an axis perpendicular to the field. The peak value of the induced e.m.f is (in$$ $$volt)

Question

A rectangular coil of $$300$$  turns has an area of $$25$$ cm×$$10$$ cm.     The coil rotates with a speed of  $$50$$ cps in a uniform magnetic field of strength $$4$$×$$10$$−$$2T$$     about an axis perpendicular to the field.  The peak value of the induced e.m.f is (in$$  $$volt)

Infinity Learn · Accepted Answer

$$N=300$$, $$A=25$$×$$10cm2=250$$×$$10$$−$$4m2$$       $$f=50$$ cps, $$B=4$$×$$10$$−$$2T$$     Peak value of induced $$emfe=BAN$$ω         $$=4$$×$$10$$−$$2$$×$$250$$×$$10$$−$$4$$×$$300$$×$$2$$$$π$$f          $$=4$$×$$10$$−$$2$$×$$250$$×$$10$$−$$4$$×$$3000$$×$$2$$π(50)           $$=30$$$$π$$V

A rectangular coil of 300 turns has an area of $25 c m \times 10 c m .$ The coil rotates with a speed of 50 cps in a uniform magnetic field of strength $4 \times 10^{- 2} T$ about an axis perpendicular to the field. The peak value of the induced e.m.f is (in volt)

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

A rectangular coil of 300 turns has an area of 25 cm×10 cm. The coil rotates with a speed of 50 cps in a uniform magnetic field of strength 4×10−2T about an axis perpendicular to the field. The peak value of the induced e.m.f is (in volt)

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

A rectangular coil of 300 turns has an area of $25 c m \times 10 c m .$ The coil rotates with a speed of 50 cps in a uniform magnetic field of strength $4 \times 10^{- 2} T$ about an axis perpendicular to the field. The peak value of the induced e.m.f is (in volt)