(6%) Problem 7: A circuit made up of 6 resistors is shown in the figure, with re
ID: 1596589 • Letter: #
Question
(6%) Problem 7: A circuit made up of 6 resistors is shown in the figure, with resistances R 17 R2 55 2, R 33 R 72 2, R 83 2, and R. 56 The total current going through the circuit is I 19.5 A. Otheexpertta.com 17% Part (a) Express the equivalent resistance of the combination of R4, R5, and R 17% Part (b) Express the equivalent resistance of the combination of R3, Rs, R5 and R Grade Summary Deductions 4% eq 96% Potential 9 HOME Submissions 7 8 Attempts remaining: 6 I t 4 5 6 (49 per attempt) detailed view 4% END 0 BACKSPACE DEL CLEAR I give up Submit Hints for a 0% deduction. Hints remaining Feedback 0% deduction per feedback -R3 is connected in parallel with the other three resistors. A 17% Part (c) xpress the equivalent resistance R of the combination of RI, R2, R3, R4,R5 and R A 17% Part (d) Calculate the numerical value of the equivalent resistance R in 2. A 17% Part (e) Express the potential difference between a and b,4V, in terms of the total current I and the equivalent resistance of the entire circuit R. A 17% Part (f Calculate the numerical value of AVin V.Explanation / Answer
a)
here
the R4 , R5 and R6 are in series
Ra = R4 + R5 + R6
Ra = 56 + 83 + 72 = 211 ohm
b)
R3 in parallel with Ra
therefore
Rb = 1 / (1 / R3 + 1 / Ra)
Rb = 1 / (1 / R3 + 1 / (R1 + R2 + R3))
Rb = 1 / ( 1 / 33 + 1 / 211)
Rb = 28.53 ohm
c)
R1 , R2 and Rb in series
therefore
Req = R1 + R2 + Rb
Req = R1 + R2 + 1 / (1 / R3 + 1 / (R1 + R2 + R3))
d)
Req = 17 + 55 + 28.53
Re = 100.53 ohm
e)
by using ohms law
delta V = I * Req
f)
delta V = 19.5 * 100.53
delta V = 1960.335 volts
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