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Sir the ans to this quesn is i3=-5/6 A so this means curretn flows from A to D (opp to current indicated in diagram) but through KVL we found PE at D is always greater than A, C,E hence it will always flow from D to other points. 1) How it is voilating Ienter=Iexit. 2)How current flows from A to D even though D is high PE?

Asked by aaryamanmodern | 22 Jun, 2023, 03:10: PM

Expert Answer

Figure shows the given circuit with assumed current distribution.

If we apply Kirchoff's voltage law to the loop BAFEB, we get

begin mathsize 14px style left parenthesis space 28 space i subscript 2 space minus space 8 space right parenthesis space V space equals space 6 space V end style

from above expression, we get i₂ = (1/2) A

If we apply Kirchoff's volatge law to the loop BCDEB , we get

begin mathsize 14px style left parenthesis space 54 space i subscript 3 space minus space 12 space right parenthesis V space equals space 6 space V end style

From above expression , we get i₃ = (1/3) A

If we apply Kirchoff's current law at junction B , we get

begin mathsize 14px style i subscript 1 space equals space i subscript 2 space plus space i subscript 3 space equals space open parentheses 1 half plus 1 third close parentheses space A space equals space 5 over 6 space A end style

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Let E be the reference point to get potential at different points of circuit.

At point B we have 6 V potential with respect to E . At point A we have -8V potential withrespect to E .

Hence B is at higher potential and E is lower potential , hence we get current i₂ from B to A.

Potential of point C is -12V with respect to E . Hence current i₃ is passing from higher potential B to lower potential C.

Current i_i is current passing through battery of EMF 6V . in a circuit, current will statr from higher potential of battery to lower potential of battery .

But inside the battery, current will pass from lower potential to higher potential .

EMF of battery , i.e., electro motive force of battery drives the current from lower potential to higher potential.

Chemical energy inside the battery gives the electromotive force to drive the current from lower potential to higher potential.

Hence every thing is perfect. No violation of any law.

Answered by Thiyagarajan K | 23 Jun, 2023, 04:44: AM