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

Dear Student,

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,


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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