A Two coaxial solenoids each 30.0 cm long, carry current IJ3.00 A, but in opposi

Question

A Two coaxial solenoids each 30.0 cm long, carry current IJ3.00 A, but in opposite directions as shown in Fig-5 The inner solenoid of radius a1 3.00 cm has ni 15 turns/cm, and the outer one of radius a2-6.00 cm has n2 330 tums cm. Find the magnitude and direction of the magnetic field, B a) Inside the inner solenoid, b) Between the inner and outer solenoids, c Outside the outer-most solenoid. d) What's the inductance of the inner solenoid? e) What's the inductance of the outer solenoid? Figure Two coaxial solenoids each 30.0 cm long, each carry a current of I 3.00 A, but in opposite directions. The inner solenoid has a radius of aj 3.00 cm, and has 15 tums/cm. and the outer solenoid has a radius of a2 6.00 cm, and has n2 30 turns/cm.

Explanation / Answer

a)inside the inner solenoid:
I(enclosed)=(n2-n1)lI=15*0.03*3 where I=current flowing,l=length
from amperes law,B*l=I(enclosed) so B=I(enclosed)/l

b)between the solenoids:

I(enclosed)=n2*l*I

so,B=(n2)I

c)outside the solenoid:

since the net current enclosed=0,B=0

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