The figure shows a circuit containing three switches, labeled S1, S2, and S3. Fi

Question

The figure shows a circuit containing three switches, labeled S1, S2, and S3. Find the current at "a" for all possible combinations of switch settings. Put epsilon = 140 V, R1 = 20 ohm, and R2 = 9 ohm. Assume that the battery has no resistance. Current at "a" for S1 and S2 and S3 open Tries 0/7 Current at "a" for S1 closed and S2 and S3 open Tries 0/7 Current at "a" for S1 and S2 closed, S3 open Tries 0/7 Current at "a" for S1, S2 and S3 closed Tries 0/7 Current at "a" for S1 and S3 closed and S2 open Tries 0/7 Current at "a" for S3 closed and S1 and S2 open Tries 0/7 Current at "a" for S2 and S3 closed and S1 open Tries 0/7 Current at "a" for S2 closed and S1 and S3 open

Explanation / Answer

A) when all three are open,

Current a= 0 A

B) when s1 is closed, a = V/R = 140/(20*2) = 3.5 A

C) wheb s1 and s2 are closed,

R =20 +20*29/(20+29) =20+11.84 = 31.84 ohm

a = V/R = 140/31.84 = 4.40 A

D) when all three are closed,

R = 20 + 20*(11.84+9)/(20+11.84+9)

= 30.2 ohm

E) when s1 and s3 are closed,

R =20 + 20*(20+9+9)/(20+20+9+9)

= 33.10 ohm

a = V /R = 140/33.10 = 4.23 A

F) when S3 is closed, R = 20+9+9+20 = 58 ohm

a = V/R = 140/58 = 2.41 A

G) when S2, S3 are closed,

R = 11.84 +9+20 = 40.84 A

a = 140/40.84 = 3.43 A

H) when s2 is closed,

R = 20+9+20 =49

a = 140/49 = 2.86 A

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