R 0 = unknown R 1 = 8 W R 2 = 2 W R 3 = 4 W E = 20 V The current I in the circui
ID: 1671629 • Letter: R
Question
R0 = unknown
R1 = 8 W
R2 = 2 W
R3 = 4 W
E = 20 V
The current I in the circuit is measured to be 9.2A.
(a) Calculate the currents through each of the resistorsR1, R2, andR3 with the positive direction taken as left toright in the diagram.
I1 = A
I2 = A
I3 = A
(b) Find the unknown resistance.
R0 = W
(c) Calculate the potential difference Vc -Vb between point c and pointb.
Vc - Vb = V
(d) Find the rate of heat production inR1.
H1 = W
(e) Find the power delivered by the battery.
PE = W
Four resistors are connected as shown. The battery has zerointernal resistance. The circuit elements have the followingvalues:R0 = unknown
R1 = 8 W
R2 = 2 W
R3 = 4 W
E = 20 V
The current I in the circuit is measured to be 9.2A.
Explanation / Answer
a, I1=E/R1=20/8=2.5A I2=I-I1=9.2-2.5=6.7A I3=(E-I2*R2)/R3=(20-6.7*2)/4=1.65A b, I0=I2-I3=5.05A R0=I3*R3/I0=1.65*4/5.05=1.3 c,Vc-Vb=I2*R2=6.7*2=13.4 V d,H1=I1^2*R1=2.5^2*8=50 W e,PE=E*I=20*9.2=184 W
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