/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 23 The peak current through an indu... [FREE SOLUTION] | 91影视

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Chapter 32: Q. 23 (page 924)

The peak current through an inductor is 10mA. What is the peak current if

a. The emf frequency is doubled?

b. The emf peak voltage is doubled (at the original frequency)

Short Answer

Expert verified

(a) Current is 5mA

(b) Current is20mA

Step by step solution

01

Part (a) Step 1: Given information 

We have been given that,

Current through inductor isI0=10mA

02

Part (a) Step 2: Simplify

Let Voltage is V0

And Frequency is f0

And Inductance is L

And Inductive reactance is localid="1649934635236" XL=2蟺蹿0L

Therefore, Current is

I0=V02蟺蹿0LI0=V02蟺蹿0L

Now, Frequency is doubled i.e. f=2f0

Therefore, Current is,

localid="1649935758169" I=V02蟺蹿LI=V02蟺脳2f0LI=I02I=102I=5mA

Hence, Current is 5mA

03

Part (b) Step 1: Given information 

We have been given that,

Current through inductor isI0=10mA

04

Part (b) Step 2: Simplify

Let Voltage isV0

And inductive reactance isXL

Therefore, Current is

I0=V0XL

Now, Voltage isV=2V0

Therefore, Current is,

I=VXLI=2V0XLI=2I0I=2脳10I=20mA

Hence, current is20mA

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Most popular questions from this chapter

A capacitor is connected across an oscillating emf. The peak current through the capacitor is 2A鈥�.What is the peak current if:

a. The capacitance Cis doubled?

b. The peak emf E0is doubled?

c. The frequency vis doubled?

A television channel is assigned the frequency range from 54mHZto 60mHZ. A series RLC tuning circuit in a TV receiver resonates in the middle of this frequency range. The circuit uses a 16pFcapacitor.

a. What is the value of the inductor?

b. In order to function properly, the current throughout the frequency range must be at least 50% of the current at the resonance frequency. What is the minimum possible value of the circuit鈥檚 resistance?

a. What is the peak current supplied by the emf in FIGUREP32.45?

b. What is the peak voltage across the 3.0mFcapacitor?

A series RLC circuit consists of a 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a 2.1mH inductor, and a 550nF capacitor. It is connected to a 50V rms oscillating voltage source with an adjustable frequency. An oscillating magnetic field is observed at a point 2.5mm from the center of one of the circuit wires, which is long and straight. What is the maximum magnetic field amplitude that can be generated?

FIGURE Q32.1shows emf phasors a, b, and c.

a. For each, what is the instantaneous value of the emf?

b. At this instant, is the magnitude of each emf increasing, decreasing, or holding constant?
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