(a)
when switch is open, R3 and R2 will not contribute
R1 and R4 are in series
so,
R = R1 + R4 = 300 + 100 = 400 ohms
and this is in parallel with R5
so,
1/Req = 1/400 + 1/200
Req = 133.33 ohms
so,
Ieq = 10 / 133.3 = 0.075 A
so,
I (R5) = 0.05 A
I ( R1) = 0.025 A
I (R4) = 0.025 A
I ( R2) = I (R3) = 0 A
----------------------------------------
V (R5) = 10 V
V (R4) = 2.5 V
V (R1) = 7.5 V
------------------------------------------
P (R1) = 0.1875 W
P (R2) = 0
P (R3) = 0
P (R4) = 0.0625 W
P (R5) = 0.5 W
----------------------------------------------------------------------------------------------
(b)
Now, when switch is closed,
R4, R3, R2 are in parallel
so,
1/R = 48.38 ohms
this in in series with R1
so,
R = 348.38 ohms
finally , this is in parallel with R5
so,
Req = 127.1 ohms
Therefore,
Ieq = 0.0787 A
Therefore,
I (R5) = 0.05 A
I ( R1) = 0.0287 A
I (R4) = 0.013887 A
I ( R2) = 0.00926 A
I (R3) = 0.00555 A
----------------------------------------
V (R5) = 10 V
V (R4) = V (R3) = V (R2) = 1.3887 V
V (R1) = 8.61 V
------------------------------------------
P (R1) = 0.247 W
P (R2) = 0.0128 W
P (R3) = 0.0077 W
P (R4) = 0.019 W
P (R5) = 0.5 W
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