A rectangular loop of wire is placed next to a straight wire, as shown in the…
The following solution is suggested to handle the subject “A rectangular loop of wire is placed next to a straight wire, as shown in the…“. Let’s keep an eye on the content below!
Question “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 of
7.0A
in both wires.
Determine the magnitude of the net force on the loop
Answer
This problem can be solved using two concepts: the magnetic field of a long metal wire and the force acting upon a wire carrying current.
To calculate the magnetic field for the long wire, use the distance from the wire relationship and the current in the wire.
To determine the force at the side ‘a’ and ‘c’ of the current carrying wire, use the length of the wire, magnetic fields, and the current.
This figure shows a rectangular loop of wire placed next to straight lines.
Expression for the magnetic force at side ‘a” due to current carrying straightwire is
Here is the magnetic field that is created by current-carrying straight wire on side ‘a. I is the current, permeability is the distance between current carrying wires and the wire at a’.
Expression for the force on wire at the side ‘a” due to current carryingwire is
refers to the force exerted on the wire at the side ‘a,’ which is caused by current carrying wire. is the length the wire a’.
Expression for the magnetic force at side ‘c” due to current carrying straightwire is
refers to the magnetic field at the side ‘c’ due to current carrying straightwire and the distance between the current-carrying wire and the wire at c’.
Expression for the force on wire at either side ‘c” due to current carryingwire is
refers to the force exerted on the wire at the side ‘c’ by current carrying wire, and refers to the length of the wire.
Substitute HTMLMediaTag13 with .
The expression for the net force in the loop is:
acts as the net force in the loop.
Expression for the force on wire at the side ‘a” due to current carryingwire is
Substitute
to
,
to
and
to
.
Expression for the force on wire at the side ‘c” due to current carryingwire is
Substitute
to
,
to
and
to
.
The expression for the net force in the loop is:
Substitute HTMLMediaTag39 to
Ans:
is the magnitude of the net force acting on the loop.
Conclusion
Above is the solution for “A rectangular loop of wire is placed next to a straight wire, as shown in the…“. We hope that you find a good answer and gain the knowledge about this topic of science.