The currents in two resistors in
a circuit are shown in the figure above.
What is the value of resistor R?
The concepts used to solve this problem are Ohm’s law in terms of current and resistance in the circuit and Kirchhoff’s laws.
Initially, the current through the unknown resistance can be calculated by using Kirchhoff’s junction rule. Later, by using the concept of same potential drop for a parallel and series connection, the unknown resistance can be calculated.
Ohm’s law states that “the potential difference between two points in a wire is proportional to the current in the wire”.
According to Ohm’s law,
Here, is the resistance and is the current.
Kirchhoff’s law states that “the total current entering a junction is equal to the total current leaving the junction”
The expression for the current through the unknown resistance is as follows:
Here, is the current through the unknown resistance, and are the given currents.
Substitute for and for .
According to Ohm’s law for the known resistance:
Here, is the resistance connected in parallel with unknown resistance, and V is the potential.
According to Ohm’s law for the unknown resistance:
By comparing the above two equations, the expression for the unknown resistance is as follows:
Substitute for , for , and for to find .
Ans:
Thus, the value of the unknown resistance is .
The currents in two resistors in a circuit are shown in the figure above. What is...
for the circuit in the figure above, what are the currents
through and potential's across each of the resistors?
RS RG w RT For the circuit in the figure above. V - 12 V. R2 -5 0.12 -10 . R3 - 8 OR-20Rs - 3 . R - 70. and Ry - 90. What are the currents through and potentials across each of the resistors?
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...
Three Resistors in Parallel Three resistors are connected in parallel as shown in figure (a). A potential difference of 12.0V is maintained between points a and b. Three resistors connected in parallel. The Another circuit with three resistors and a voltage across each resistor is 12.0 V. battery. Is it equivalent to the circuit in (a)? a Ž 3.00 6.00 9.00 3.00 6.00 09.00 (a) Calculate the equivalent resistance of the circuit. SOLUTION Conceptualize Figure (a) shows that we are...
In circuit one, resistors and voltmeters are connected as
shown. In circuit two, an additional resistor R4, is placed in
parallel with resistor R2.
3 In circuit one, resistors and voltmeters are connected as shown. In circuit two, an additional resistor R is placed in parallel with resistor R. Circuit One Circuit Two of 1 w RS w V a. no change b. decreased c. increased d. increased V₂ decreased increased decreased no change Select one: a. A b. B...
A four-resistor circuit is shown in the figure. The values of the resistors are as follows: Ri=6 Ohms, R2=R3=4 Ohms, R4=3 Ohms. What is the equivalent resistance Req for this circuit? R4 RA R₂ R3 O 0.8 ohms 0 2.0 ohms 03.14 ohms 0 4.5 ohms O 6.0 ohms A four-resistor circuit is shown in the figure. The values of the resistors are as follows: Ry=6 oms, R2=R3=4 Ohms, R4=3 Ohms. What is the equivalent resistance Req for this circuit?...
A four-resistor circuit is shown in the figure. The values of
the resistors are as follows: R1=4 Ohms,
R2=R3=R4=3 Ohms. What is the
equivalent resistance Req for this circuit?
R4 R1 R23 R₂ }
A circuit consists of two resistors connected in series with a
power supply, as shown in the figure. The resistance of ?1 is less
than the resistance of ?2.
A series circuit with two resistors R subscript 1 and R
subscript 2. R subscript 1 is connected to the positive terminal of
the power supply, and is the first resistor in the circuit.
Which resistor has the greater current flowing through
it?
?2
?1
The current through each resistor is...
Consider the circuit shown in the figure(Figure 1). Suppose the four resistors in this circuit have the values R1 = 12 12, R2 = 7.0 N, R3 = 7.9 2 , and R4 = 12 12, and that the emf of the battery is € = 18 V You may want to review (Pages 748 - 751) Part A Find the current through each resistor using the rules for series and parallel resistors. Express vour answers using two significant figures...
Four resistors and two batteries are connected in a circuit, as
shown.
a) Label the circuit and write down Kirchhoff’s rules!
b) Find the currents in the circuit.
c) Find the power delivered by the two batteries!
d) Find the power dissipated in each resistor!
1.522 2.5V WW w 112 MW 2.002 4.5V 4.002
A circuit is constructed with
five resistors and one real battery as shown above right. We model.
The real battery as an ideal emf V = 12 V in series with an
internal resistance r as shown above left. The values for the
resistors are: R1 = R3 = 22 Ω, R4 = R5 = 82 Ω and R2 = 147 Ω. The
measured voltage across the terminals of the batery is Vbattery =
11.6 V.
A circuit is constructed...