Question

if R1,R2 and R3 resistor which are in parallel connection in the circuit then what is the result of resistance (rp) in the circuit
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Answer 1

Answer:

When resistors are connected in parallel, The voltage across them will be the same...

Therefore the Resultant resistance will be given by,

$\frac{1}{rp} = \frac{1}{r1} + \frac{1}{r2} + \frac{1}{r3}$

Answer 2

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