Principles And Applications Of Electrical Engineering
Principles And Applications Of Electrical Engineering
6th Edition
ISBN: 9789814577410
Author: RIZZONI
Publisher: Mcgraw-Hill
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Chapter 2, Problem 2.78HP
To determine

(a)

The currentthroughR5 with and without ammeter for the given valuesof the resistor.

Expert Solution
Check Mark

Answer to Problem 2.78HP

The current through resistor:

With meter in circuit:

  IR5=9.75mA

Without meter in circuit:

  IR5=9.91mA

Explanation of Solution

Given information:

The given circuit is shown below.

  Principles And Applications Of Electrical Engineering, Chapter 2, Problem 2.78HP , additional homework tip  1

Also,

   R s =20Ω R 1 =800Ω R 2 =600Ω R 3 =1.2 kΩ R 4 =150Ω R 5 =1kΩ R m =25ΩVs=24 V

Calculation:

First, find an expression for the current through R5 in terms of R5 and the meter resistance, Rm. By the voltage divider rule:

  VR3 = R3( R 4+ R 5+ R m)VR1R3( R 4+ R 5+ R m)+R2

  VR1=R1( R 3 ( R 4 + R 5 + R m )+ R 2 )VsR1( R 3 ( R 4 + R 5 + R m )+ R 2 )+Rs

And IR5 =  VR3R4+R5+Rm 

Therefore,

   IR5=R1( R 3 ( R 4 + R 5 + R m )+ R 2 ) V sR1( R 3 ( R 4 + R 5 + R m )+ R 2 )+RSR3( R 4 + R 5 + R m )R3( R 4 + R 5 + R m )+ R 21R4+R5+Rm= 553.846( R 5 + R m +550)24573.846( R 5 + R m +558.579)1200( R 5 + R m +150)1800( R 5 + R m +550)1( R 5 + R m +150)=15.4424R5+Rm+558.579

Hence for given values of R5

The current through resistor:

With meter in circuit, Rm=25Ω

  IR5=9.75mA

Without meter in circuit, Rm=0Ω

  IR5=9.91mA

To determine

(b)

The current through R5 with and without ammeter for the given values of the resistor.

Expert Solution
Check Mark

Answer to Problem 2.78HP

The current through resistor:

With meter in circuit:

  IR5=22.59mA

Without meter in circuit:

  IR5=23.45mA

Explanation of Solution

Given information:

The given circuit is shown below.

  Principles And Applications Of Electrical Engineering, Chapter 2, Problem 2.78HP , additional homework tip  2

Also,

   R s =20Ω R 1 =800Ω R 2 =600Ω R 3 =1.2 kΩ R 4 =150Ω R 5 =100Ω R m =25ΩVs=24 V

Calculation:

First, find an expression for the current through R5 in terms of R5 and the meter resistance, Rm. By the voltage divider rule:

  VR3 = R3( R 4+ R 5+ R m)VR1R3( R 4+ R 5+ R m)+R2

  VR1=R1( R 3 ( R 4 + R 5 + R m )+ R 2 )VsR1( R 3 ( R 4 + R 5 + R m )+ R 2 )+Rs

And IR5 =  VR3R4+R5+Rm 

Therefore,

   IR5=R1( R 3 ( R 4 + R 5 + R m )+ R 2 ) V sR1( R 3 ( R 4 + R 5 + R m )+ R 2 )+RSR3( R 4 + R 5 + R m )R3( R 4 + R 5 + R m )+ R 21R4+R5+Rm= 553.846( R 5 + R m +550)24573.846( R 5 + R m +558.579)1200( R 5 + R m +150)1800( R 5 + R m +550)1( R 5 + R m +150)=15.4424R5+Rm+558.579

Hence for given values of R5

The current through resistor:

With meter in circuit, Rm=25Ω

  IR5=22.59mA

Without meter in circuit, Rm=0Ω

  IR5=23.45mA

To determine

(c)

The current through R5 with and without ammeter for the given values of the resistor.

Expert Solution
Check Mark

Answer to Problem 2.78HP

The current through resistor:

With meter in circuit:

  IR5=26.02mA

Without meter in circuit:

  IR5=27.16mA

Explanation of Solution

Given information:

The given circuit is shown below.

  Principles And Applications Of Electrical Engineering, Chapter 2, Problem 2.78HP , additional homework tip  3

Also,

   R s =20Ω R 1 =800Ω R 2 =600Ω R 3 =1.2 kΩ R 4 =150Ω R 5 =10Ω R m =25ΩVs=24 V

Calculation:

First, find an expression for the current through R5 in terms of R5 and the meter resistance, Rm. By the voltage divider rule:

  VR3 = R3( R 4+ R 5+ R m)VR1R3( R 4+ R 5+ R m)+R2

  VR1=R1( R 3 ( R 4 + R 5 + R m )+ R 2 )VsR1( R 3 ( R 4 + R 5 + R m )+ R 2 )+Rs

And IR5 =  VR3R4+R5+Rm 

Therefore,

   IR5=R1( R 3 ( R 4 + R 5 + R m )+ R 2 ) V sR1( R 3 ( R 4 + R 5 + R m )+ R 2 )+RSR3( R 4 + R 5 + R m )R3( R 4 + R 5 + R m )+ R 21R4+R5+Rm= 553.846( R 5 + R m +550)24573.846( R 5 + R m +558.579)1200( R 5 + R m +150)1800( R 5 + R m +550)1( R 5 + R m +150)=15.4424R5+Rm+558.579

Hence for given values of R5

The current through resistor:

With meter in circuit, Rm=25Ω

  IR5=26.02mA

Without meter in circuit, Rm=0Ω

  IR5=27.16mA

To determine

(d)

The current through R5 with and without ammeter for the given values of the resistor.

Expert Solution
Check Mark

Answer to Problem 2.78HP

The current through resistor:

With meter in circuit:

  IR5=26.42mA

Without meter in circuit:

  IR5=27.60mA

Explanation of Solution

Given information:

The given circuit is shown below.

  Principles And Applications Of Electrical Engineering, Chapter 2, Problem 2.78HP , additional homework tip  4

Also,

   R s =20Ω R 1 =800Ω R 2 =600Ω R 3 =1.2 kΩ R 4 =150Ω R 5 =1Ω R m =25ΩVs=24 V

Calculation:

First, find an expression for the current through R5 in terms of R5 and the meter resistance, Rm. By the voltage divider rule:

  VR3 = R3( R 4+ R 5+ R m)VR1R3( R 4+ R 5+ R m)+R2

  VR1=R1( R 3 ( R 4 + R 5 + R m )+ R 2 )VsR1( R 3 ( R 4 + R 5 + R m )+ R 2 )+Rs

And IR5 =  VR3R4+R5+Rm 

Therefore,

   IR5=R1( R 3 ( R 4 + R 5 + R m )+ R 2 ) V sR1( R 3 ( R 4 + R 5 + R m )+ R 2 )+RSR3( R 4 + R 5 + R m )R3( R 4 + R 5 + R m )+ R 21R4+R5+Rm= 553.846( R 5 + R m +550)24573.846( R 5 + R m +558.579)1200( R 5 + R m +150)1800( R 5 + R m +550)1( R 5 + R m +150)=15.4424R5+Rm+558.579

Hence for given values of R5

The current through resistor:

With meter in circuit, Rm=25Ω

  IR5=26.42mA

Without meter in circuit, Rm=0Ω

  IR5=27.60mA

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