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Calculate the current through each resistor in the figure below

if each resistance, R= 2.75 k-ohm, and V= 18.0V

Part A

Calculate the current through resistor a.

Part B

Calculate the current through resistor b.

Part C

Calculate the current through resistor c.

Part D

Calculate the current through resistor d.

Part E

Calculate the current through resistor e.

Part F

Calculate the current through resistor f.

Part G

What is the potential difference between points A and B?

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Starting From right side for calculating equivalent

resistance

Resistors a and b are in series

Rab=R R=2R

Rab and Rc are in parallel

1/Rabc=1/2R 1/R

Rabc=(2/3)R

Rabc and Rd are in series

Rabcd=(2/3)R R=(5/3)R

Rabcd and Re are in parallel

1/Rabcde=1/(5/3)R 1/R

Rabcde=(5/8)R

Rabcde and Rf are in series ,so equivalent

resistance

Req=(5/8)R R=1.625R

given R=2.75 Kohms

Req=(2.75*103*1.625)=4468.75 ohms

Total current flowing in the circuit is

I=V/Req=18/4468.75 =4.03*10-3 A or 4.03

mA

Current flowing in each resistor

If=I=4.03*10-3 A or 4.03 mA

Ie=I*(Rabcd/Rabcd Re)=4.03*((5/3)R/(5/3)R R)=2.52

mA

Id=If-Ib=1.51 mA

Ic=Id*(Rab/Rc Rab)=1.51*(2R/R 2R)

=1.01 mA

Ia=Ib=Id-Ic=1.51-1.01

=0.5 mA

so

a)

Ia=0.5 mA or 0.5*10-3

A

b)

Ib=0.5 mA or 0.5*10-3

A

c)

Ic=1.01 mA or 1.01*10-3

A

d)

Id=1.51 mA or

1.51*10-3A

e)

Ie=2.52 mA or

2.52*10-3A

f)

If=4.03 mA or

4.03*10-3A

g)

Potential difference across A and B is

VAB=Ic*Rc

=(1.01)(2.75)

VAB=2.77 Volts

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