Using Kirchhoff's law
We know that, current enerring and leaving should be equal, so for the given circuit we can write:
I = I1 + I2
from Ohm's law
V = IR => I = V/R
V/Req = V1/R1 + V2/R2
But when devices are connected in parallel they have the same potential difference across them,
V = V1 = V2
1/Req = 1/R1 + 1/R2
Hence, 1/Req = 1/R1 + 1/R2
2) Find the equivalent resistance of the circuit below using Krichhoff's laws and addition of resistors...
What is the equivalent resistance of a the following 3 resistors: R1 = 13 Ohms R2 = = 4 Ohms R3 = 42 Ohms In this circuit, R1 and R3 are connected in parallel, and then connected to R2 in series, as shown below: Ri 0--R2- R3
Learning Goal:
To learn to calculate the equivalent resistance of the circuits
combining series and parallel connections.
Resistors are often connected to each other in electric
circuits. Finding the equivalent resistanceof
combinations of resistors is a common and important task.
Equivalent resistance is defined as the single resistance that can
replace the given combination of resistors in such a manner that
the currents in the rest of the circuit do not change.
Finding the equivalent resistance is relatively straighforward if...
Find the equivalent resistance of the combination of resistors shown in the figure below. (R = 1.82 A, R2 = 13.6 765 x Did you break the circuit into simpler combinations of series and parallel resistors? Did you draw a reduced diagram a 31.50 p.12 8.00 un 3.50 p
What is the equivalent resistance in a circuit if the following resistors are connected in parallel. If a voltage source of 5 volts is connected into the circuit, what is the net current coming out of the voltage source. Resistor 1 = 15 ohms, Resistor 2 = 23 ohms, Resistor 3 = 40 ohms
For the combination of resistors shown,
findthe equivalent resistance between points A and B.
Express your answer in Ohms.
If the circuit is, as shown below
find the equivalent resistance between points
Aand B.
Three resistors are in parallel to each other in a 120V circuit. Find the total resistance if R1 = 40 ohms, R2 = 35 ohms, and R3 = 100 ohms. Select one: a. 15.73 ohms b. 0.06 ohms c. 175 ohms d. 58.33 ohms
9. In this section of a circuit, resistors Ri, Ro, and Rs combine for an equivalent resistance of 4.0 Ω. What is R2? Let R1-60 Ω and R3-20 Ω. ( point) Ri 10Ω 012Ω 3.0 Ω 1.2Ω 8. Three resistors are connected into the section of a circuit described by the diagram. Then the (I point) wire is cut at point t, and the two cut ends of the wire are separated. Through which of the three resistors, if any,...
Find Equivalent Resistance of this circuit.
Resistor Network: Combination of Resistors in series and in parallel Prediction: List all of the pairs of resistors that are in series parallel
Apply the following questions to both the circuit shown in
Figure (a) (resistors in series) and the circuit shown in Figure
(b) (resistors in parallel).
(a) Use Ohm's law with Kirchhoff's current and voltage laws to
derive equations for currents i1, i2 and
i (through Resistor R1, resistor R2, and
the voltage source , respectively) in terms of R1,
R2, and v.
(b) R1 and R2 can be interchanged with an
equivalent resistor rith resistance R without changing the
values...
Consider the circuit below with three resistors Two resistors, R2 (10 Ω) and R3 (10 Ω) are connected in parallel to another resistor R1 (5 Ω). And the circuit is connected to a 20 V power supply 9. Find the equivalent resistance (R) of the circuit shown above. (3 pts) Answer 10. Find the current that goes through R1. (4 pts) Answer 11. Find the potential difference through resistors in parallel (R2 and R3). (4 pts) Answer