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Chapter 30: Q.64 (page 873)

64. II A solenoid inductor has an emf of 0.20Vwhen the current through it changes at the rate 10.0A/s . A steady current of 0.10 A produces a flux of 5.0μWbper turn. How many turns does the inductor have?

Short Answer

Expert verified

The number of turns in the solenoid are 39

Step by step solution

01

Step 1. Given information

The Magnetic flux,B=5μWb/turn=5×10−6Wb/turn

The current,I=0.10Aμ=4π×10−7

02

Step 2. Explanation

Flux in a solenoid is given by

B=μnI

Here is magnetic flux, is current and is number of turns.

From equation (1),

n=BμIn=5×10−64×3.14×10−7×0.10n=39.8n≈39

The number of turns in the solenoid are 39

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Most popular questions from this chapter

A 10-turn coil of wire having a diameter of 1.0 cm and a resistance of 0.20Ωis in a 1.0mT magnetic field, with the coil oriented for maximum flux. The coil is connected to an uncharged 1.0μF capacitor rather than to a current meter. The coil is quickly pulled out of the magnetic field. Afterward, what is the voltage across the capacitor?

A rectangular metal loop with 0.050 resistance is placed next to one wire of the RC circuit shown in FIGUREP30.52. The capacitor is charged to 2Vwith the polarity shown, then the switch is closed at t=0s.

a. What is the direction of current in the loop for t>0s?

b. What is the current in the loop at t=5.0μs? Assume that

only the circuit wire next to the loop is close enough to produce a significant magnetic field.

A 20cm*20cm square loop of wire lies in the xy-plane with its bottom edge on the x-axis. The resistance of the loop is0.50Ω. A magnetic field parallel to the z-axis is given byB=0.80y2t, whereB is in tesla, yin meters, andt in seconds. What is the size of the induced current in the loop at t=0.50s?

86. III High-frequency signals are often transmitted along a coaxial CALC cable, such as the one shown in FIGURE CP30.86. For example, the cable TV hookup coming into your home is a coaxial cable. The signal is carried on a wire of radius while the outer conductor of radius is grounded. A soft, flexible insulating material fills the space between them, and an insulating plastic coating goes around the outside.

a. Find an expression for the inductance per meter of a coaxial cable. To do so, consider the flux through a rectangle of length that spans the gap between the inner and outer conductors.

b. Evaluate the inductance per meter of a cable havingr1=0.50mm andr2=3.0mm .

75. The capacitor in FIGURE P 30.75 is initially charged to 100V, the 1200μFcapacitor is uncharged, and the switches are both open.

a. What is the maximum voltage to which you can charge the 1200μFcapacitor by the proper closing and opening of the two switches?

b. How would you do it? Describe the sequence in which you would close and open switches and the times at which you would do so. The first switch is closed at t=0s.
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