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Deduce the expression for the equivalent resistance of the parallel combination of three resistors R1,R2 and R3
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plase say how to do it?
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plase say how to do it?
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Deduce the expression for the equivalent resistance of the parallel co...
Calculation of Equivalent Resistance of Parallel Combination of Three Resistors
To find the equivalent resistance of three resistors R1, R2, and R3 connected in parallel, we can use the following steps:
Step 1: Represent the circuit diagram of the parallel combination of three resistors as shown below:
Step 2: Write down the formula for the equivalent resistance of three resistors connected in parallel:
1/Req = 1/R1 + 1/R2 + 1/R3
Where Req is the equivalent resistance of the three resistors R1, R2, and R3 connected in parallel.
Step 3: Simplify the expression by taking the reciprocal of both sides:
Req = (R1 x R2 x R3) / (R1 x R2 + R2 x R3 + R1 x R3)
This is the final expression for the equivalent resistance of the parallel combination of three resistors R1, R2, and R3.
Step 4: Substitute the values of the resistors R1, R2, and R3 in the above expression to obtain the numerical value of the equivalent resistance.
For example, if R1 = 10 Ω, R2 = 20 Ω, and R3 = 30 Ω, then
Req = (10 x 20 x 30) / (10 x 20 + 20 x 30 + 10 x 30) = 6 Ω
Therefore, the equivalent resistance of the parallel combination of three resistors R1, R2, and R3 is 6 Ω.
To find the equivalent resistance of three resistors R1, R2, and R3 connected in parallel, we can use the following steps:
Step 1: Represent the circuit diagram of the parallel combination of three resistors as shown below:
Step 2: Write down the formula for the equivalent resistance of three resistors connected in parallel:
1/Req = 1/R1 + 1/R2 + 1/R3
Where Req is the equivalent resistance of the three resistors R1, R2, and R3 connected in parallel.
Step 3: Simplify the expression by taking the reciprocal of both sides:
Req = (R1 x R2 x R3) / (R1 x R2 + R2 x R3 + R1 x R3)
This is the final expression for the equivalent resistance of the parallel combination of three resistors R1, R2, and R3.
Step 4: Substitute the values of the resistors R1, R2, and R3 in the above expression to obtain the numerical value of the equivalent resistance.
For example, if R1 = 10 Ω, R2 = 20 Ω, and R3 = 30 Ω, then
Req = (10 x 20 x 30) / (10 x 20 + 20 x 30 + 10 x 30) = 6 Ω
Therefore, the equivalent resistance of the parallel combination of three resistors R1, R2, and R3 is 6 Ω.
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Deduce the expression for the equivalent resistance of the parallel combination of three resistors R1,R2 and R3?plase say how to do it?
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Deduce the expression for the equivalent resistance of the parallel combination of three resistors R1,R2 and R3?plase say how to do it? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Deduce the expression for the equivalent resistance of the parallel combination of three resistors R1,R2 and R3?plase say how to do it? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Deduce the expression for the equivalent resistance of the parallel combination of three resistors R1,R2 and R3?plase say how to do it?.
Deduce the expression for the equivalent resistance of the parallel combination of three resistors R1,R2 and R3?plase say how to do it? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Deduce the expression for the equivalent resistance of the parallel combination of three resistors R1,R2 and R3?plase say how to do it? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Deduce the expression for the equivalent resistance of the parallel combination of three resistors R1,R2 and R3?plase say how to do it?.
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