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Chapter 23: Q19PE (page 860)

At what speed must the sliding rod in Figure 23.11move to produce an emf of 1.00 Vin a 1.50 Tfield, given the rod’s length is 30.0 cm?

Short Answer

Expert verified

The obtained speed is: 2.22 m/s.

Step by step solution

01

Given Data

Length of rod is 30.0 cm.

Induced emf is 1.00 V

magnetic field is 1.50 T

02

Define Electromagnetic Induction

The phenomenon in which there is a induction of electromotive force in the coil, either due to the motion of conductor in external magnetic field or due to the motion of magnet near a coil, is termed as Electromotive force. The induced emf exists only till the magnetic field keeps changing for the coil.

03

Evaluating the speed

The induced emf for this case has the equation,

ε=BLv……………………(1)

Then, the equation (1) can be rearranged for speed will be:

v=εBL……………………(2)

Substituting the given values in equation (2), we get:

v=1.0V1.5T×0.3m

Therefore, the speed is: 2.22 m/s .

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Most popular questions from this chapter

When the \(20.0{\rm{ }}A\) current through an inductor is turned off in \(1.50{\rm{ }}ms\), an \(800{\rm{ }}V\) emf is induced, opposing the change. What is the value of the self-inductance?

An American traveller in New Zealand carries a transformer to convert New Zealand’s standard\(240{\rm{ }}V\)to\(120{\rm{ }}V\)so that she can use some small appliances on her trip. (a) What is the ratio of turns in the primary and secondary coils of her transformer?

(b) What is the ratio of input to output current?

(c) How could a New Zealander traveling in the United States use this same transformer to power her\(240{\rm{ }}V\)appliances from\(120{\rm{ }}V\)?

If you want a characteristic RL time constant of 1.00 s, and you have a resistor 500Ω, what value of self-inductance is needed?

A multipurpose transformer has a secondary coil with several points at which a voltage can be extracted, giving outputs of 5.60, 12.0, and 480 V. (a) The input voltage is 240 V to a primary coil of 280 turns. What are the numbers of turns in the parts of the secondary used to produce the output voltages? (b) If the maximum input current is 5.00 A, what are the maximum output currents (each used alone)?

An RLcircuit consists of a 40.0Ωresistor and a 3.00 mHinductor. (a) Find its impedance Z at 60.0 Hzand 10.0 kHz. (b) Compare these values of Zwith those found in Example 23.12 in which there was also a capacitor.
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