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Three resistors of 6 Ω are connected in parallel. So, what will be the equivalent resistance?
- a)9 Ω
- b)6 Ω
- c)18 Ω
- d)2 Ω
Correct answer is option 'D'. Can you explain this answer?
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Three resistors of 6 Ω are connected in parallel. So, what will ...
To calculate the equivalent resistance when three resistors are connected in parallel, we use the formula:
1/Req = 1/R1 + 1/R2 + 1/R3
Given that the resistors have a value of 6 Ω each, we can substitute this value into the formula:
1/Req = 1/6 + 1/6 + 1/6
1/Req = 3/6 + 3/6 + 3/6
1/Req = 9/6
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 3:
1/Req = 3/2
Now, we can take the reciprocal of both sides to find the equivalent resistance:
Req = 2/3 Ω
1/Req = 1/R1 + 1/R2 + 1/R3
Given that the resistors have a value of 6 Ω each, we can substitute this value into the formula:
1/Req = 1/6 + 1/6 + 1/6
1/Req = 3/6 + 3/6 + 3/6
1/Req = 9/6
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 3:
1/Req = 3/2
Now, we can take the reciprocal of both sides to find the equivalent resistance:
Req = 2/3 Ω
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Three resistors of 6 Ω are connected in parallel. So, what will ...
When resistances are connected in parallel, the equivalent resistance is given by
When resistances are connected in series, the equivalent resistance is given by
Calculation:
Given that R1 = R2 = R3 = 6 Ω and all are connected in parallel
Given that R1 = R2 = R3 = 6 Ω and all are connected in parallel
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Three resistors of 6 Ω are connected in parallel. So, what will be the equivalent resistance?a)9 Ωb)6 Ωc)18 Ωd)2 ΩCorrect answer is option 'D'. Can you explain this answer?
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