question archive Problem Consider the circuit in the diagram, with sources of emf listed below c r Randomized Variables 0
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Problem Consider the circuit in the diagram, with sources of emf listed below c r Randomized Variables 0.10 Ω 25 V Ri 5.0 Ω Rs 20Ω 64 39 V 0.50 Ω 40Ω 0.20 Ω Ra 78 Ω 9 i 0.05 Ω h Otheexpertta.com D Δ 33% Part (a) Find 11 in amps D Δ 33% Part (b) Find 12 in amps Δ 33% Part (c) Find 13 in amps
From the given figure we can see that,
I3=I1+I2 ........................(i)from conservation of current.
Now applying KVL in both the loops,
-5I1+E1-0.1I1-20I1+40.5I2-E2=0
25-25.1I1+40.5I2-49=0
-25.1I1+40.5I2=24...............(ii)
And in the other loop,
E2-40.5I2-0.2I3-E4-0.05I3+E3-78I3=0
49-40.5I2-78.25I3-39+5.5=0
40.5I2+78.25I3=15.5.............(iii)
Solving the three equation (i),(ii)and (iii)
I1=-0.3614
I2=0.3686
I3=7.284*10-3