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Chapter 20: Problem 35

When the emf for the primary of a transformer is of amplitude $5.00 \mathrm{V},\( the secondary emf is \)10.0 \mathrm{V}$ in amplitude. What is the transformer turns ratio \(\left(N_{2} / N_{1}\right) ?\)

Short Answer

Expert verified
Answer: The transformer turns ratio (N2/N1) is 2.

Step by step solution

01

Understand the Transformer Turns Ratio Formula

The formula to relate the primary and secondary voltages of a transformer with its turns ratio is given by: \[ \frac{V_{2}}{V_{1}} = \frac{N_{2}}{N_{1}} \] where V1 is the primary voltage, V2 is the secondary voltage, N1 is the number of turns in the primary coil, and N2 is the number of turns in the secondary coil.
02

Plug in the given values

We are given V1 = 5.00 V and V2 = 10.0 V in the problem. We will plug these values into the formula: \[ \frac{10.0}{5.00} = \frac{N_{2}}{N_{1}} \]
03

Solve for N2/N1

Now, we will solve for the transformer turns ratio (N2/N1): \[ \frac{N_{2}}{N_{1}} = \frac{10.0}{5.00} = 2 \] So the transformer turns ratio N2/N1 is 2.

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Most popular questions from this chapter

When the armature of an ac generator rotates at $15.0 \mathrm{rad} / \mathrm{s},\( the amplitude of the induced emf is \)27.0 \mathrm{V}$ What is the amplitude of the induced emf when the armature rotates at $10.0 \mathrm{rad} / \mathrm{s} ?$ (tutorial: generator)
A TV tube requires a 20.0 -kV-amplitude power supply. (a) What is the turns ratio of the transformer that raises the 170 -V-amplitude household voltage to \(20.0 \mathrm{kV} ?\) (b) If the tube draws 82 W of power, find the currents in the primary and secondary windings. Assume an ideal transformer.
A 2 -m-long copper pipe is held vertically. When a marble is dropped down the pipe, it falls through in about 0.7 s. A magnet of similar size and shape takes much longer to fall through the pipe. (a) As the magnet is falling through the pipe with its north pole below its south pole, what direction do currents flow around the pipe above the magnet? Below the magnet (CW or CCW as viewed from the top)? (b) Sketch a graph of the speed of the magnet as a function of time. [Hint: What would the graph look like for a marble falling through honey?]
Suppose you wanted to use Earth's magnetic field to make an ac generator at a location where the magnitude of the field is \(0.50 \mathrm{mT}\). Your coil has 1000.0 turns and a radius of \(5.0 \mathrm{cm} .\) At what angular velocity would you have to rotate it in order to generate an emf of amplitude $1.0 \mathrm{V} ?$
A de motor has coils with a resistance of \(16 \Omega\) and is connected to an emf of \(120.0 \mathrm{V}\). When the motor operates at full speed, the back emf is \(72 \mathrm{V}\). (a) What is the current in the motor when it first starts up? (b) What is the current when the motor is at full speed? (c) If the current is \(4.0 \mathrm{A}\) with the motor operating at less than full speed, what is the back emf at that time?
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