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A common resistance of carbon resistors is 33 ΩΩ. How many 33 ΩΩ resistor, connected in parallel, are needed to give a total resistance of 5.5 ΩΩ?

Answer :

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Let n be the required number of 33 ohm resistors.
[tex]n\times(\frac{1}{33})=\frac{1}{5.}[/tex]
[tex]n=\frac{33}{5.5}=6[/tex]
The required number of 33 ohm resistors in parallel is 6 resistors.

Answer:

6 resistors.

Step-by-step explanation:

Common resistance of carbon resistors has been given as 3 Ω

When resistors added in parallel connection total resistance is given by the expression

[tex]\frac{1}{R}[/tex] = [tex]\frac{1}{R_1}[/tex] + [tex]\frac{1}{R_2}[/tex]...........[tex]\frac{1}{R_n}[/tex]

If n resistors have been added then [tex]\frac{1}{R}[/tex] = [tex]\frac{n}{r}[/tex]

here r = 3Ω and R = (0.5)Ω

[tex]\frac{n}{3}[/tex]= [tex]\frac{1}{0.5}[/tex]

n = [tex]\frac{3}{0.5}[/tex] =  6 resistors.

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