The two 10-cm-long parallel wires
in the figure are separated by 5.0 mm. For what value of the resistor R will the force between the two wires be 1.1×10−4 N ?
The concepts of magnetic force between two parallel wires and Ohm’s law are required to solve the problem.
First, determine the current flowing through the left side wire by using Ohm’s law. Then determine the current flowing through the right-side circuit by using the relation of magnetic force between two parallel wires. Finally, calculate the value of resistance by using Ohm’s law.
According to Ohm’s law current passing through a conductor is directly proportional to the voltage across the conductor. The expression for Ohm’s law is given as,
Here, V is the voltage across the conductor, and R is the resistance.
Magnetic force between two current carrying parallel wires of length l is given as,
Here, and are the currents in the two wires, r is the distance between the two wires, and, is the permeability of free space.
Consider the left side circuit and use Ohm’s law.
The current flowing in the left side wire is determined by using the equation,
Substitute 9.0 V for and for in the above equation.
Consider the right-side circuit and determine the value of the resistor R.
Magnetic force between the two parallel wires is given as,
Here, is the current in the left side wire, is the current in the right-side wire, r is the distance between the two wires, and is the permeability of free space.
Rearrange the above equation for .
According to Ohm’s law, current flowing in the right-side wire is given as,
Here, is the voltage across the resistor R.
Substitute for in equation and rearrange the equation for R.
Substitute 9.0 V for , 4.5 A for , 10 cm for l, for , 5.0 mm for r, and for F in equation .
Ans:
The value of the resistor R is .
Mechanical effect of electric current and ohm's law are used to solve the question.
The two 10-cm-long parallel wiresin the figure are separated by 5.0 . For what value...
The two 10-cm-long parallel wires in the figure are separated by 5.0 mm. For what value of the resistor R will the force between the two wires be 1.80 times 10^-5 N?
The figure below shows a 50 cm long bar attached to ideal frictionless parallel wires. The bar is free to slide along the wires but its orientation is forced by the attachments. The bar is pulled by an external force at a constant velocity along the wires in the presence of a B - 3.10 T magnetic field which points into the screen. The parallel wires are connected to a R-28.01 resistor and the bar makes an angle of @=...
Two long, straight, parallel wires of length 3.6 m carry parallel currents of 3.8 A and 1.1 A. (a) If the wires are separated by a distance of 3.7 cm, what is the magnitude of the force between the two wires? N (b) Is this force attractive or repulsive? attractive or repulsive (c) If the currents are in opposite directions (antiparallel), how do the answers to parts (a) and (b) change? What is the magnitude of the force between the...
Two long, parallel wires are separated by a distance of 3.30 cm . The force per unit length that each wire exerts on the other is 3.70×10−5 N/m , and the wires repel each other. The current in one wire is 0.700 A .What is the current in the second wire?
Two long parallel wires carry currents of 20 A and 5.0 A in opposite directions. The wires are separated by 0.20 m. What is the magnitude of the magnetic field midway between the two wires in units of 10-5T?
Two long parallel wires carry currents of 20 A and 5.0 A in opposite directions. The wires are separated by 0.20 m. What is the magnitude of the magnetic field midway between the two wires in units of 10-5T?
1.Two long, parallel wires are separated by 1.81 cm and carry currents of 1.11 A and 3.67 A , respectively. Find the magnitude of the magnetic force ? that acts on a 3.31 m length of either wire. ?= ____________N 2.Two long parallel wires carry currents of 1.11 A and 4.75 A. The magnitude of the force per unit length acting on each wire is 4.83×10−5 N/m. Find the separation distance of the wires expressed in millimeters. separation distance:__________mm
Two long, parallel wires are separated by a distance of 3.40 cm. The force per unit length that each wire exerts on the other is 4.20x10-5 N/m and the wires repel each other. The current in one wire is 0.520 A. Part A What is the current in the second wire? 10 AP R O ? Submit Request Answer Part B Are the two currents in the same direction or in opposite directions? In the same direction In opposite direction...
3) Two parallel infinitely-long wires separated by 10 cm distance carry the currents of 1 A flowing in the same direction. What is the magnetic field produced by these currents in the middle between the two wires? (25 pts.)