Question 137: Electromagnetic Induction

Question

Two coaxial solenoids are made by winding thin insulated wire over a pipe of cross-sectional area $$A=$$ $$10\,\,c{m^2}$$ and  length $$=20$$ $$cm$$ . If one of the solenoid has $$300$$ turns and the other $$400$$ turns, their mutual inductance is $$\left( {{\mu _0} = 4\pi  	imes {{10}^{ - 7}}\,Tm\,{A^{ - 1}}} ight)$$

Accepted Answer

$$M = {{{\mu _0}{N_1}{N_2}A} \over \ell }$$
$$ = {{4\pi  	imes {{10}^{ - 7}} 	imes 300 	imes 400 	imes 100 	imes {{10}^{ - 4}}} \over {0.2}}$$
$$ = 2.4\pi  	imes {10^{ - 4}}H$$

Answer

$$2.4\pi  	imes {10^{ - 5}}H$$

Answer

$$4.8\pi  	imes {10^{ - 4}}H$$

Answer

$$4.8\pi  	imes {10^{ - 5}}H$$

Answer

$$2.4\pi  	imes {10^{ - 4}}H$$

Electromagnetic Induction

Two coaxial solenoids are made by winding thin insulated wire over a pipe of cross-sectional area $A= 10\,\,c{m^2} and length =20 cm . If one of the solenoid has 300 turns and the other 400 turns, their mutual inductance is \left( {{\mu _0} = 4\pi \times {{10}^{ - 7}}\,Tm\,{A^{ - 1}}} \right)

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