Two cells each of emf 10V and each 1 internal resistance are used to send a current through a wire of 2 resistance. The cells are arranged in parallel. Then the current through the circuit. 1 ) 2A 2) 4A 3) 3A 4) 5A
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Suppose that a current i flows through the external resistance (8Ω) and it divides into two branches at the node B as i
1
and i
2
Using KCL, i
1
+i
2
=1
Using KVL
For loop ABYXA
(−i
1
)1+(i−i
1
)1=−10+8
for loop ABQPA
(−i
2
)1+(−i)8=−10
On solving we get
i=
17
18
A≈1.06A
i
1
=10−8i=(10−8.54)A=1.52A
i
2
=i−i
1
=−0.46A
The negative sign for i
2
means that its direction its opposite to the direction that we had assumed.
Give me some thanks
Mark Branlist please
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