Question

find the equivalent resistance of resistors connected in a series combination

Answer 1

Answer:

The equivalent resistance is the algebraic sum of the resistances: RS=R1+R2+R3+R4+R5=20Ω+20Ω+20Ω+20Ω+10Ω=90Ω.

The current through the circuit is the same for each resistor in a series circuit and is equal to the applied voltage divided by the equivalent resistance: I=VRS=9V90Ω=0.1A.

Answer 2

Answer:

The equivalent resistance of resistors connected in series is always equal to the sum of component resistors.

Explanation:

If the resistor is connected end-to-end, it is called a series circuit. Imagine two resistors,  R1 and R2, connected in series. The total voltage across the resistor is given by V = R1 + R2.

When resistors are connected up and down in a circuit, it is called a parallel circuit. Imagine two resistors,  R1 and R2, connected in parallel. The total resistance vs. voltage is given by 1 / R = 1 / R1 + 1 / R2.

The equivalent resistance of the series combination:

 Req=R1 +R2 +R3+.....

Thus equivalent resistance of the resistors connected in series is always equal to the sum of component resistors.

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