If a person has five resistors each of value 1-5 - then the maximum resistance he can obtain by connecting them is -A- 1 - -B- 5 - -C- 10 - -D- 25 - - Physics Q-A

Step 1: GivenNumber of resistors=5Resistance=R_1=R_2=R_3=R_4=R_5=1/5ΩStep 2: Determine the maximum resistanceThe resistance is maximum when resistors are connec ...

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Standard X

Physics

Equivalent Resistance of a System of Resistor

If a person h...

Question

If a person has five resistors each of value $\frac{1}{5} Ω$ , then the maximum resistance he can obtain by connecting them is

$1 Ω$

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$5 Ω$

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$10 Ω$

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$25 Ω$

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Solution

The correct option is A
$1 Ω$

Step 1: Given
Number of resistors $= 5$
Resistance $= R_{1} = R_{2} = R_{3} = R_{4} = R_{5} = \frac{1}{5} Ω$
Step 2: Determine the maximum resistance
The resistance is maximum when resistors are connected in series.
$R_{t o t a l} = R_{1} + R_{2} + R_{3} + R_{4} + R_{5} = \frac{1}{5} + \frac{1}{5} + \frac{1}{5} + \frac{1}{5} + \frac{1}{5} = 1 Ω$
Hence, option (A) is the correct option.

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If a person has five resistors each of value 15Ω, then the maximum resistance he can obtain by connecting them is

The correct option is A 1ΩStep 1: GivenNumber of resistors=5Resistance=R1=R2=R3=R4=R5=15ΩStep 2: Determine the maximum resistanceThe resistance is maximum when resistors are connected in series.Rtotal=R1+R2+R3+R4+R5=15+15+15+15+15=1ΩHence, option (A) is the correct option.

If a person has five resistors each of value $\frac{1}{5} Ω$ , then the maximum resistance he can obtain by connecting them is