Compute the equivalent resistance of the network in the figure below, and find t
ID: 1260941 • Letter: C
Question
Compute the equivalent resistance of the network in the figure below, and find the current in each resistor. (R1 = 2.00 ?, R2 = 5.00 ?, R3 = 15.0 ?, R4 = 7.00 ?, and ? = 57.0 V.) The battery has negligible internal resistance.
equivalent resistance
?
current in each resistor
A (Resistor R1)
A (Resistor R2)
A (Resistor R3)
A (Resistor R4)
Explanation / Answer
R1,R2 are connected in parllel
then resistance becomes
=2*5/7
=1.428ohms
R3,R4 are connected in parllel
=15*7/22
=4.77ohms
1.428 and 4.77 are connected in series
=1.428+4.77
EQUIVALENT RESISTANCE
=6.198ohms
current flowing through circuit
=57/6.198
=9.196A
in order to determine current through each resistor
kirchoffs law
V1=4.77*9.196
=43.86volts
V2=1.428*9.196
=13.13volts
I1=13.13/2 =6.56A
I2=13.13/5 =2.626A
I3=43.86/15 =2.924A
I4=43.86/7 =6.265A
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