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Four resistors \( R_1 = 2.00 \, \text{ohms} \), \( R_2 = 2.00 \, \text{ohms} \), \( R_3 = 2.00 \, \text{ohms} \), are connected in parallel. The battery has a voltage of 5V.

Determine the equivalent resistance and current through the circuit.

Answer :

The battery is powered by a 5V battery. The circuit's equivalent resistance and current are 0.5Ω and 10 A, respectively.

What does equivalent resistance mean?

The entire resistance of a group of resistors in an electrical circuit that may be represented by a single resistor is known as equivalent resistance. It is computed either by obtaining the reciprocal of the sum of the reciprocals of the individual resistances in parallel or by adding individual resistances in series.

A single resistor can replace the complete network in order to obtain an equivalent current and/or voltage for a specific applied voltage when employing a network.

It should be feasible to calculate the overall effective resistance of the circuit as a whole or for a specific component when a circuit consists of numerous circuit components.

equivalent resistance:

[tex]\frac{1}{R}[/tex]= [tex]\frac{1}{2}[/tex] + [tex]\frac{1}{2}[/tex] + [tex]\frac{1}{2}[/tex] + [tex]\frac{1}{2}[/tex]

R = 0.5 Ω

using the formula

V = IR

I = 10 Ampere.

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