SHOW ALL WORK. Consider the following circuit with V 1 = 10 V, R 1 = 2.5 k?, R 2

Question

SHOW ALL WORK. Consider the following circuit with V1 = 10 V, R1 = 2.5 k?, R2 = R3 = 15 k?, R4 = 10 k?, R5 = 2.5 k?, R6 = 6 k?, R7 = 5 k?, C1 = 5 ?F, C2 = 4 ?F, C3 = 12 ?F, C4 = 8?F, C5 = 4?F, and C6 = 12 ?F,

a) How many pairs of resistors (that is 2 resistors) are in parallel in this circuit?

b) How many pairs of resistors (that is 2 resistors) are in series in this circuit?

c) How many pairs of capacitors (that is 2 capacitors ) are in parallel in this circuit?

d) How many pairs of capacitors (that is 2 capacitors ) are in series in this circuit?

e) find the capacitance C23456, the equivalent capacitance of C2, C3, C4, C5, and C6.

Explanation / Answer

part a)

only one(R2 and R3)

part b)

one (R1,R5)

part c)

one (C4,C5)

part d)

none

part e)

C45=C4+C5=8+5=13

C3456=1/C3+1/C45+1/C6=1/13+1/12+1/12=1/13+1/6=0.0769+0.1667=0.2435

C23456=C2+C3456=4+0.2435=4.2435 micro F

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