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# (Solved): 4. The current through the wire as a function of time is i(t)=et. In which direction will the cu ...

4. The current through the wire as a function of time is . In which direction will the current be induced in the loop shown? (clockwise or counterclockwise)

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Magnetic field induced by a current carrying wire
When an electric current flows through a wire, a magnetic field is created around the wire. The direction of the magnetic field can be determined using the right-hand rule, where the thumb points in the direction of the current and the fingers curl in the direction of the magnetic field. The strength of the magnetic field is directly proportional to the amount of current flowing through the wire.

When a changing magnetic flux is applied through a loop, an electromotive force (EMF) is induced in the loop. This is known as electromagnetic induction. The magnitude of the induced EMF is proportional to the rate of change of the magnetic flux through the loop.

If the loop is part of a closed circuit, then the induced EMF will cause an electric current to flow in the circuit. This phenomenon is the basis for many electrical devices, such as generators, transformers, and induction motors.

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