in the circuit diagram , suppose the resistors R1, R2, and R3 have a value 5ohm,10ohm and 30 ohm , which have been connected to a battery of 12 v. calculate the current through each resistor , the total current in the circuit and the total circuit resistance ?
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Explanation:
The equivalent resistance of the 5Ω, 10Ω, 30Ω resistors connected in parallel is
Rp1=51+101+301
=306+3+1=3010
∴Rp=3Ω
∴, the total resistance of the given circuit is 3 Ohms.
The total current can be calculated using the Ohm's law as the value of voltage (V) is already given.
using Ohm's law
Voltage=Current×Resistance
⇒I=RV=312=4A
Current through each resistor can be calculated by applying Ohm's law given that the voltage of the circuit and the individual resistances of each resistor is already given.
Current through 5Ω resistor =RV=512=2.4A
Current through 10Ω resistor =RV=1012=1.2A
Current through 30Ω resistor =RV=3012=0.4A
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