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A solenoid of lenght 30 cm with 10 turns per centimetre and area of cross-section `40cm^(2)` completely surrounds another co-axial solenoid of same length, area of cross-section `20cm^(2)` with 40 turns per centimetre. The mutual inductance of the system isA. 10 HB. 8 HC. 3 mHD. 30 mH |
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Answer» Correct Answer - C Mutual inductance of the system, `M=mu_(0)n_(1)n_(2)A_(2)l` where `A_(2)` is the area of inner solenoid. `n_(1)=10 cm^(-1)=1000 m^(-1)` `n_(2)=40 cm^(-1)=4000 m^(-1)` `l=30 cm=30xx10^(-2)m` `A_(2)=20cm^(2)=20xx10^(-4)m^(2)` `:.M=4pixx10^(-7)xx1000xx4000xx20xx10^(-4)xx30xx10^(-2)` `=301.44xx10^(-5)H=3mH` |
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