Judge the equivalent resistance when the following are connected in parallel − (a) 1 Ω and 10⁶Ω, (b) 1 Ω and 10³Ω and 10⁶Ω.

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Solution

(a) When 1 Ω and 10⁶Ω are connected in parallel:

Let R be the equivalent resistance.

Therefore, equivalent resistance 1 Ω

(b) When 1 Ω, , and are connected in parallel:

Let R be the equivalent resistance.

Therefore, equivalent resistance = 0.999 Ω

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Judge the equivalent resistance when the following are connected in parallel – (b) $1 Ω$ , $10^{3} Ω$ and $10^{6} Ω$ .

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(a) 1

Ω

and

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(b) 1

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and

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, and

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Q. Three resistors each having same resistance are connected in parallel. their equivalent resistance is

1 Ω

if they are connected in series, find the equivalent resistance.

Two resistances $R_{1}$ and $R_{2}$ give an equivalent resistance of 4.5 $Ω$ when connected in series and 1 $Ω$ when connected in parallel. Then the value of resistances are___________.

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Judge the equivalent resistance when the following are connected in parallel − (a) 1 Ω and 106Ω, (b) 1 Ω and 103Ω and 106Ω.

(a) When 1 Ω and 106 Ω are connected in parallel: Let R be the equivalent resistance. Therefore, equivalent resistance 1 Ω (b) When 1 Ω, , and are connected in parallel: Let R be the equivalent resistance. Therefore, equivalent resistance = 0.999 Ω

Judge the equivalent resistance when the following are connected in parallel − (a) 1 Ω and 10⁶Ω, (b) 1 Ω and 10³Ω and 10⁶Ω.

(a) When 1 Ω and 10⁶Ω are connected in parallel:

Let R be the equivalent resistance.

Therefore, equivalent resistance 1 Ω

(b) When 1 Ω, , and are connected in parallel:

Let R be the equivalent resistance.

Therefore, equivalent resistance = 0.999 Ω