Resistors R1, R2 and R3 having values 5Ω, 10Ω, and 30Ω respectively are connected in parallel across a battery of 12V. Calculate [3 MARKS]
(a) the current through each resistor
(b) the total current in the circuit and
(c) the total circuit resistance.
Each point: 1 Mark
Here,
R1=5Ω,R2=10Ω,R3=30Ω,V=12 V
(a) I1=? I2=? I3=?
(b) I=I1+I2+I3=?
(c) Rp=?
(a) From relation, (Ohm's law), R=VI
I=VR
Putting values, we get, I1=VR1=125=2.4 A
I2=VR2=1210=1.2 A
I3=VR3=1230=0.4 A
(b) Total current, I=I1+I2+I3
I=2.4+1.2+0.4=4 A
(c) From relation
1Rp=1R1+1R2+1R3
Rp=3Ω