Exercise 30.13 A toroidal solenoid has mean radius 15.0cm and cross-sectional ar

Question

Exercise 30.13

A toroidal solenoid has mean radius 15.0cm and cross-sectional area 0.440cm2 .

Part A

How many turns does the solenoid have if its inductance is 0.190mH ?

Express your answer using three significant figures.

1800

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Correct

Part B

What is the resistance of the solenoid if the wire from which it is wound has a resistance per unit length of 0.0760 ?/m?

Express your answer to three significant figures and include the appropriate units.

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Exercise 30.13

A toroidal solenoid has mean radius 15.0cm and cross-sectional area 0.440cm2 .

Part A

How many turns does the solenoid have if its inductance is 0.190mH ?

Express your answer using three significant figures.

1800

SubmitMy AnswersGive Up

Correct

Part B

What is the resistance of the solenoid if the wire from which it is wound has a resistance per unit length of 0.0760 ?/m?

Express your answer to three significant figures and include the appropriate units.

SubmitMy AnswersGive Up

Incorrect; Try Again; 4 attempts remaining; no points deducted

Explanation / Answer

L=0.19 mH

Length

l=2pi*r =2pi*0.15

l=0.9425 m

Self inductance of solenoid is

L=uo*N2*A/l

=>N=sqrt[L*l/uo*A]=sqrt[0.19*10-3*0.9425/4pi*10-7*0.44*10-4]

N=1800 turns

b)

Given Resistance/Length

R/l =0.076ohm/m

R=0.076*0.9425

R=0.0716 ohms

Total resistance of 1800 turns

Rt=1800*0.0716

Rt=129 ohms

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