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1) Calculate the current through each resistor in (Figure 1) if each resistance

ID: 1533394 • Letter: 1

Question

1)

Calculate the current through each resistor in

(Figure 1) if each resistance R = 3.25 k and V = 14.0 V .

Calculate the current through resistor e.

Express your answer to three significant figures and include the appropriate units.

Calculate the current through resistor f.

Express your answer to three significant figures and include the appropriate units.

What is the potential difference between points A and B?

Express your answer to three significant figures and include the appropriate units.

2)

Calculate the currents in each resistor of the figure. (Figure 1)

Calculate the current in 110 resistor.

Express your answer to two significant figures and include the appropriate units.

3)

Determine the magnitudes of the currents through R1 and R2 in (Figure 1) , assuming that each battery has an internal resistance r = 2.2 .

Calculate the charge on each capacitor.

I1, I2 =

Express your answers using three significant figures separated by commas.

4)

Calculate the charge on each capacitor.

Express your answers using three significant figures separated by commas.

Q1, Q2, Q3 =

5)

In (Figure 1) , suppose C1=C2=C3=C4=C.

Determine the charge on each capacitor.

Express your answers in terms of the variables V and C separated by commas.

Determine the potential difference across each capacitor.

Express your answers in terms of V separated by commas.

Q1, Q2, Q3, Q4 =

Q1, Q2, Q3, Q4 =

V1, V2, V3, V4 A0 R A

Explanation / Answer

Q1.

a and b are in series.

net resistance=R+R=2*R

it is in parallel with c.

net resistance=2*R*R/(2*R+R)=2*R/3

it is in series with d.

net resistance=5*R/3

it is in parallel with e.

net resistance =(5*R/3)*R/((5*R/3)+R)

=5*R/8

it is in series with f.

so total resistance of the circuit=R+(5*R/8)

=13*R/8


current in the circuit=V/(13*R/8)

=14/(13*3.25*1000/8)=2.651 mA

current through f=2.651 mA

e and (5*R/3) are in parallel.
using current division , current through=e=2.651*(5*R/3)/((5*R/3)+R)

=2.651*5/8 mA=1.6569 mA

current through 5*R/3 =2.651-1.6569=0.9941 mA

d is in series with 2*R/3 to create 5*R/3

so current through d=0.9941 mA

using current division

current through c=0.9941*2*R/(2*R+R)=0.6627 mA

current through a=current through b=0.9941-0.6627=0.3314 mA

potential difference between A and B=-R*current through c

=-3.25*1000*0.6627*0.001=-2.1538 volts