State Kirchhoffs rule. Apply these rules to the loops PRSP AND PRQP to write the expressions for current I1, I2, I3 in the given circuit
 

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Please find below the solution to the asked query:

Kirchhoff's current law (KCL)

The algebraic sum of currents in a network of conductors meeting at a point is zero.

Kirchhoff's voltage law (KVL)

The algebraic sum of the products of the resistance of the conductors and the currents in them in a closed loop is equal to the total emf available in that loop.

For the above loop,

If we apply the current rule at junction P, then,

I3=I1+I2

If we apply the loop law for the loop PRSP‚Äč,

If we apply KVL to loop PRSP,  5=20 I3+200 I2For loop PRQP,     4=20 I3+60 I1So, 4=20 I1+I2+60 I14=20 I2+80 I1For loop PQRSP,5-4=200 I2 - 60 I11=200 I2 - 60 I1Therefore,-200 I2 + 60 I1=-1200 I2+800 I1=40860 I1=39I1=39860I1=45.4 mASo,20 I2=4-80 I120 I2=4-80×0.045420 I2=4-3.632 20 I2=0.368I2=18.4 mASo,I3=I1+I2=45.4+18.4I3=63.8 mA

 

 


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