Strictly speaking, when the current in the ring is being established and it begins to create the induced magnetic field, the field of the ring itself changes the flux in the ring (and the first derivative of the flux). This is called self-induction. The most prominent example of self-induction is the dangerous sparking situation when people are working with electromagnets: Assume that you have a single solenoid (radius R=5cm, number of turns N=2000, length=1cm) that is connected to a battery supplying current I=50A. When you rip the battery out of the circuit, the current falls to zero rapidly – say within 5 milliseconds. Calculate the voltage induced in this solenoid because of the changing magnetic flux in this very same solenoid.

Strictly speaking, when the current in the ring is being established and it begins to create the induced magnetic field, the field of the ring itself changes the flux in the ring (and the first derivative of the flux). This is called self-induction. The most prominent example of self-induction is the dangerous sparking situation when people are working with electromagnets: Assume that you have a single solenoid (radius R=5cm, number of turns N=2000, length=1cm) that is connected to a battery supplying current I=50A. When you rip the battery out of the circuit, the current falls to zero rapidly – say within 5 milliseconds. Calculate the voltage induced in this solenoid because of the changing magnetic flux in this very same solenoid.

Similar questions

A solid conducting bar is free to move across two ends of a conducting U shape of wire that are separated by L=25 cm. On the base of the U shape is a resistor R=20 ohms. The whole apparatus is in a constant magnetic field B=0.7 T pointing out of the page. If the conducting bar has negligent resistance itself and is moved to the right at a constant velocity of 12 m/s, what is the magnitude and direction of the current induced in the loop? a) 0.11 A, clockwise b) 0.11 A, counterclockwise c) 2.1 A, clockwise d) 2.1 A, counterclockwise
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A loop of wire has the shape shown in the drawing. The top part of the wire is bent into a semicircle of radius r = 0.27 m. The normal to the plane of the loop is parallel to a constant magnetic field (φ = 0˚) of magnitude 0.87 T. What is the change ΔΦ in the magnetic flux that passes through the loop when, starting with the position shown in the drawing, the semicircle is rotated through half a revolution?
A loop of wire has the shape shown in the drawing. The top part of the wire is bent into a semicircle of radius r = 0.22 m. The normal to the plane of the loop is parallel to a constant magnetic field (φ = 0˚) of magnitude 0.90 T. What is the change ΔΦ in the magnetic flux that passes through the loop when, starting with the position shown in the drawing, the semicircle is rotated through half a revolution?
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A square wire loop (side length 1.5 m) is oriented so that it is perpendicular to an external magnetic field B, with half the area of the loop embedded in the field, as shown below. The loop contains a battery with a constant emf Eb = 7.2 V and a resistor R = 3.2 Ω. The external magnetic field is B(t) = [0.027 T − (0.56 T/s) t] î where î is out of the page. (a) Findtheemfproducedbyinductionintheloop. (b) Findthenetcurrentintheloopfromboththeinducedemfandthebattery. (c) What direction is the current in? (a) Findtheemfproducedbyinductionintheloop. (b) Findthenetcurrentintheloopfromboththeinducedemfandthebattery. (c) What direction is the current in? (a) Find the emf produced by induction in the loop. (b) Find the net current in the loop from both the induced emf and the battery. (c) What direction is the current in?
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You are given a straight piece of conductor that is 5.0 cm long and moves in a region of uniform magnetic field of 1.6 T along the z-direction. If the conductor is oriented along the x-axis and moves in the y-direction with a velocity of 5.0 m/s, find the magnitude of induced voltage that will be produced between the ends of this moving conductor.
The figure below shows a bar of mass m = 0.240 kg that can slide without friction on a pair of rails separated by a distance { = 1.20 m and located on an inclined plane that makes an angle e = 35.0° with respect to the ground. The resistance of the resistor is R = 1.50 N and a uniform magnetic field of magnitude B = 0.500 T is directed downward, perpendicular to the ground, over the entire region through which the bar moves. With what constant speed v does the bar slide along the rails? m/s