In the given circuit diagram, calculate :
(a) the value of current through each resistor
(b) the total current in the circuit
(c) the total effective resistance of the circuit.

Explanation

(A) `I_(1) =(V)/(R_(1))=(12)/(5) = 2.4 A `
`I_(2)=(V)/(R_(2))= (12)/(10)= 1.2 A `
`I_(3) = (V)/(R_(3))=(12)/(30) =0.4 A `
(b) Total current `I=I_(1)+I_(2)+I_(3)`
`=2.4 A+1.2 A +0.4A`
(c ) Total effective resistance `(1)/(R) =(1)/(R_(1))+(1)/(R_(2))+(1)/(R_(3))`
`=(1)/(5)+(1)/(10)+(1)/(30)`
`=(10)/(30)=(1)/(3) Omega`
`R = 3 Omega`