Chapter 32: Q. 24 (page 925)

FIGURE EX32.24 shows voltage and current graphs for an inductor.
a. What is the emf frequency $f$ ?
b. What is the value of the inductance $L$ ?

Short Answer

Expert verified

a. The emf frequency $f = 50 H z$

b. The inductance $L = 1.5915 \times 10^{- 3} H$

Step by step solution

Part a) Step 1 : Given information

We have been given that

Time period of emf is $(T) = 0.02 seconds$

We have to find emf frequency by using the voltage and current graph .

Detailed solution

As we know,

Emf frequency is the number of oscillations in voltage in one second

$f = \frac{1}{T} = \frac{1}{0.02} \Rightarrow f = 50 H z$

Part b) Step 1 : Given information

We have been given that

Peak voltage $(V_{\circ}) = 1 V$

Peak current $(I_{\circ}) = 2 A$

We need to find out the inductance of the inductor using graph and given values .

Detailed Solution

As we know ,

Inductive Reactance ; $X_{L}$

$X_{L} = \frac{V}{I_{m a x}} X_{L} = \frac{1 V}{2 A} = 0.5 Ω$

Also we know that , $ω$ is angular frequency of current

$ω = 2 π f = 2 π \times 50 = 100 π$

$X_{L} = ω L \Rightarrow L = \frac{X_{L}}{ω} = \frac{0.5}{100 π} \Rightarrow L = 1.5915 \times 10^{- 3} H$

Thus, this is the value of inductance.

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FIGURE EX32.24 shows voltage and current graphs for an inductor.
a. What is the emf frequency $f$ ?
b. What is the value of the inductance $L$ ?

Short Answer

Step by step solution

Part a) Step 1 : Given information

Detailed solution

Part b) Step 1 : Given information

Detailed Solution

One App. One Place for Learning.

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FIGURE EX32.24 shows voltage and current graphs for an inductor.a. What is the emf frequency f?b. What is the value of the inductance L?

Short Answer

Step by step solution

Part a) Step 1 : Given information

Detailed solution

Part b) Step 1 : Given information

Detailed Solution

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Classical Mechanics

Magnetism

Further Mechanics and Thermal Physics

Quantum Physics

Fields in Physics

Dynamics

Study anywhere. Anytime. Across all devices.

FIGURE EX32.24 shows voltage and current graphs for an inductor.
a. What is the emf frequency $f$ ?
b. What is the value of the inductance $L$ ?