A plane coil of lo turns is tightly wound around a solenoid of diamete

1.	A plane coil of lo turns is tightly wound around a solenoid of diameter 2 cm having 400 turns per centimeter. The relative permeability of the core is 800. Calculate the mutual inductance.
Answer» Data: N = 10, R = 1 cm = 10^-2 m, n = 400 cm^-1 = 4 × 10⁴ m^-1 , k = 800, μ₀ = 4π × 10⁴ H/m Mutual inductance M = kμ₀πR²nN =(800)(4π × 10^-7)[π × (10²)² ](4 × 10⁴)(10) = 0.1264 H

A plane coil of lo turns is tightly wound around a solenoid of diameter 2 cm having 400 turns per centimeter. The relative permeability of the core is 800. Calculate the mutual inductance.

Answer»

Data: N = 10, R = 1 cm = 10^-2 m,

n = 400 cm^-1 = 4 × 10⁴ m^-1 , k = 800,

μ₀ = 4π × 10⁴ H/m

Mutual inductance

M = kμ₀πR²nN

=(800)(4π × 10^-7)[π × (10²)² ](4 × 10⁴)(10)

= 0.1264 H

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A plane coil of lo turns is tightly wound around a solenoid of diameter 2 cm having 400 turns per centimeter. The relative permeability of the core is 800. Calculate the mutual inductance.

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