A rectangular loop of wire is placed next to a straight wire, as shown in the (Figure 1) . There is a current of
The concepts used to solve this problem are magnetic field of a long wire and force acting on a wire carrying current.
Use the current in the wire and the distance from the wire relation to calculate the magnetic field of the long wire.
Use the current, length of the wire, magnetic field to find the force on wire at side ‘a’ and ‘c’ due to the current carrying wire.
The figure depicts rectangular loop of wire is placed next to a straight line,
Expression for the magnetic field at side ‘a’ due to current carrying straight wire is,
Here, is the magnetic field at side ‘a’ due to current carrying straight wire, I is the current, is the permeability, and r is the distance between the current carrying wire and wire at ‘a’.
Expression for the force on wire at side ‘a’ due to current carrying wire is,
Here, is the force on wire at side ‘a’ due to current carrying wire and l is the length of the wire ‘a’.
Substitute for .
Expression for the magnetic field at side ‘c’ due to current carrying straight wire is,
Here, is the magnetic field at side ‘c’ due to current carrying straight wire and R is the distance between the current carrying wire and wire at ‘c’.
Expression for the force on wire at side ‘c’ due to current carrying wire is,
Here, is the force on wire at side ‘c’ due to current carrying wire and l is the length of the wire ‘c’.
Substitute for .
Expression for the net force on the loop is,
Here, is the net force on the loop.
Expression for the force on wire at side ‘a’ due to current carrying wire is,
Substitute for , for , for , for .
Expression for the force on wire at side ‘c’ due to current carrying wire is,
Substitute for , for , for , for .
Expression for the net force on the loop is,
Substitute for and for .
Ans:The magnitude of the net force on the loop is .
A rectangular loop of wire is placed next to a straight wire, as shown in the...
A rectangular loop of wire is placed next to a straight wire, as shown in the (Figure 1) . There is a current ofI = 6.5A in both wires. A) Determine the direction of the net force on the loop. B) Determine the magnitude of the net force on the loop. A rectangular loop of wire is placed next to a straight wire, as shown in the (Figure 1) . There is a current of I = 6.5A in both...
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Problem 20.31 Part A A rectangular loop of wire is placed next to a straight wire, as shown in the (Eigure 1). There is a current of 1 = 2.5 A in both wires. Determine the direction of the net force on the loop. O away from the wire toward wire Submit My Answers Give Up Correct Figure 1 of 1 Part B Determine the magnitude of the net force on the loop. Express your answer to two significant figures...
A rectangular loop of wire is placed next to a straight wire. There is a current of 3.5A in both wires. Please find the magnitude and direction of the net force on the loop. 1) What is the direction of magnetic field produced by long wire? 2) What is the force on segment AB due to this magnetic field (magnitude and direction) 3) What is the force on segment CD due to this magnetic field (magnitude and direction) 4) What...
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