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What is the equivalent resistance formula?
The equivalent resistance is the algebraic sum of the resistances (Equation 10.3. 2): RS=R1+R2+R3+R4+R5=20Ω+20Ω+20Ω+20Ω+10Ω=90Ω. The current through the circuit is the same for each resistor in a series circuit and is equal to the applied voltage divided by the equivalent resistance: I=VRS=9V90Ω=0.1A.
What is meant by equivalent resistance?
The equivalent resistance represents the total effect of all resistors connected in the circuit, be it series or in parallel. The equivalent resistance can be measured in either a series or parallel circuit, so the total effect of resistors can also be ascertained by finding the equivalent resistance.
How can we calculate equivalent resistance in both the cases?
1 Answer
- (i) Resistance P and Q are in series = 3Ω + 3Ω = 6Ω.
- Resistance of 6Ω segment and 3Ω are parallel.
- ∴ 1/R = 1/6 + 1/3 = 1+2/6 = 3/6 or R = 2Ω
- (ii) Resistance of the arms PS = 2Ω + 2Ω = 4Ω, (in series)
- Resistance of the arm QR = 2Ω + 2Ω = 4Ω, (in series)
- Resistance of arm PQ, QR and RS are in series.
What is equivalent resistance in a parallel circuit?
If the two resistances or impedances in parallel are equal and of the same value, then the total or equivalent resistance, RT is equal to half the value of one resistor. That is equal to R/2 and for three equal resistors in parallel, R/3, etc.
What is the other name of equivalent resistance?
1] Equivalent resistance formula for series resistance: The equivalent resistance of a number of resistors in series will be the sum of the individual resistances. The unit of resistance is the Ohm i.e. in symbol \Omega.
What is the formula for equivalent resistance?
The equivalent resistance of a parallel circuit is found by the general equation Req = 1 / ( 1/R1 + 1/R2 + … 1/Rn) The total power consumed in a parallel circuit is equal to the sum of the power consumed by the individual resistors.
How do you find equivalent resistance?
Equivalent resistance can be found if you know the individual resistance values and the source voltage. By calculating each branch current, adding the branch currents to calculate total current, and dividing the source voltage by the total current, the total can be found.
What is equivalent resistance physics?
equivalent resistance. [i′kwiv·ə·lənt ri′zis·təns] (electricity) Concentrated or lumped resistance that would cause the same power loss as the actual small resistance values distributed throughout a circuit.
What is the formula for finding resistance?
Resistance can be calculated using Ohm’s law, which states that resistance equals voltage divided by current, or R = V/I (more commonly written as V = IR), where R is resistance, V is voltage and I is current. Resistors are generally classified as either fixed or variable.