The right edge of the circuit in FIGURE EX29.35 extends into a 50 mT uniform magnetic field. What are the magnitude and direction of the net force on the circuit?
and its direction to the right.
when a wire carrying a current and moves inside a magnetic field, the magnetic field exerted a magnetic force on the wire. For a wire with length , the exerted magnetic force is given by equation (29.26) in the form
Where is the angle between the direction of the current and the magnetic field. A current that is parallel to the magnetic force is zero while it is maximum when the current is perpendicular to the magnetic field.
In the given circuit , the top and the bottom wires in the circuit are parallel to the magnetic field, so the exerted force both of them are zero
We use Ohm's law to get this current as Ohm's law states that the current flows through a resistance due to the potential difference between the resistance.
Let us determine the current through the right wire using the values for of the battery by
For the right wire the angle is , so we plug values for into equation (1) to get by
Now we get the net force on the circuit by
The current diagram in the right wire is down because it moves from the positive terminal of the battery. if we apply the battery rule, we find that the force is exerted to the right.
A conducting bar of length l and mass m rests at the left end of the two frictionless rails of length d in FIGURE P29.75. A uniform magnetic field of strength B points upward.
a. In which direction, into or out of the page, will a current through the conducting bar cause the bar to experience a force
to the right?
b. Find an expression for the bar’s speed as it leaves the rails at
the right end.
The coaxial cable shown in consists of a solid inner conductor of radius surrounded by a hollow, very thin outer conductor of radius . The two carry equal currents I, but in opposite directions. The current density is uniformly distributed over each conductor.
a. Find expressions for three magnetic fields: within the inner conductor, in the space between the conductors, and outside the outer conductor.
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