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What is the effective resistance(in Ω) of two resistors 21 Ω and 28 Ω connected in parallel?
- a)49
- b)24
- c)12
- d)98
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
What is the effective resistance(in Ω) of two resistors 21 Ω and 28 Ω...
In parallel
1/R=1/R1+1/R2
l/R=l/21+l/28
1/R=(4+3)/(7x3x4)=7/84=1/12
1/R=1/12
R=12H
Most Upvoted Answer
What is the effective resistance(in Ω) of two resistors 21 Ω and 28 Ω...
Effective resistance in parallel:
When resistors are connected in parallel, the total resistance can be calculated using the formula:
1/Reffective = 1/R1 + 1/R2 + 1/R3 + ...
Where Reffective is the effective resistance and R1, R2, R3, ... are the individual resistances.
Given resistors:
In this case, we have two resistors: 21 Ω and 28 Ω connected in parallel.
Calculation:
Using the formula for effective resistance in parallel, let's calculate the value:
1/Reffective = 1/21 + 1/28
To add the fractions, we find the least common multiple (LCM) of the denominators, which is 84:
1/Reffective = (4/84) + (3/84)
Adding the fractions:
1/Reffective = 7/84
Now, taking the reciprocal of both sides to solve for Reffective:
Reffective = 84/7
Simplifying:
Reffective = 12 Ω
Answer:
Therefore, the effective resistance of the two resistors 21 Ω and 28 Ω connected in parallel is 12 Ω.
When resistors are connected in parallel, the total resistance can be calculated using the formula:
1/Reffective = 1/R1 + 1/R2 + 1/R3 + ...
Where Reffective is the effective resistance and R1, R2, R3, ... are the individual resistances.
Given resistors:
In this case, we have two resistors: 21 Ω and 28 Ω connected in parallel.
Calculation:
Using the formula for effective resistance in parallel, let's calculate the value:
1/Reffective = 1/21 + 1/28
To add the fractions, we find the least common multiple (LCM) of the denominators, which is 84:
1/Reffective = (4/84) + (3/84)
Adding the fractions:
1/Reffective = 7/84
Now, taking the reciprocal of both sides to solve for Reffective:
Reffective = 84/7
Simplifying:
Reffective = 12 Ω
Answer:
Therefore, the effective resistance of the two resistors 21 Ω and 28 Ω connected in parallel is 12 Ω.
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What is the effective resistance(in Ω) of two resistors 21 Ω and 28 Ω...
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What is the effective resistance(in Ω) of two resistors 21 Ω and 28 Ω connected in parallel?a)49b)24c)12d)98Correct answer is option 'C'. Can you explain this answer?
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