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Calculate equivalent resistance when three resistances of 2 ohms, 3 ohms and 6 ohms are connected in parallel combination.

  • a)
    2 Ω

  • b)
    3 Ω

  • c)
    1 Ω

  • d)
    4 Ω

Correct answer is option 'C'. Can you explain this answer?
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Calculate equivalent resistance when three resistances of2ohms,3ohms a...
The equivalent resistance in a parallel resistance circuit can be calculated using the formula:

1/Req = 1/R1 + 1/R2 + 1/R3 + ...

where Req is the equivalent resistance and R1, R2, R3, ... are the individual resistances connected in parallel.

If the resistances are 2 Ω each, then the formula becomes:

1/Req = 1/2 + 1/2 + 1/2 + ...

Simplifying the equation:

1/Req = 1/2 * (1 + 1 + 1 + ...)

1/Req = 1/2 * n

where n is the number of resistances connected in parallel.

Therefore, the equivalent resistance (Req) when the resistances are 2 Ω each is:

Req = 2/n
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Calculate equivalent resistance when three resistances of2ohms,3ohms a...
The equivalent resistance in a parallel resistance circuit is given by the formula:

1/Req = 1/R1 + 1/R2 + 1/R3 + ...

Where R1, R2, R3, ... are the individual resistances in the circuit.

If the resistances are 2 Ω, the formula becomes:

1/Req = 1/2 + 1/2 + 1/2 + ...

Since all the resistances are the same, the equation simplifies to:

1/Req = n/2

Where n is the number of resistances in the circuit.

To find the equivalent resistance, we can rearrange the equation:

Req = 2/n

So, if there are 2 resistances in the circuit, the equivalent resistance would be:

Req = 2/2 = 1 Ω
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