Some traffic lights use “induction loops” to detect cars. Using Faraday’s Law, explain how an induction loop detects cars to relay a signal to change the light.

Q1.. Explain Faraday's law of induction and Lenz's Laws. The magnetic flux passes perpendicular to the plane of the circuit and is directed into the paper. If the magnetic flux varies with respect to time as per the following relation: B = (2t³ +3t2 + 8t +5) mWb, what is the magnitude of the induced emf in the loop when t= 3 s? Find out the direction of current through the circuit. X X XX www

Which option most accurately defines Faraday's law? Any change in the electric field over a conductor will produce an magnetic field inside a conductor. The voltage generated in a coil is inversely proportional to the cross-sectional area of the coils loops. Any change in the magnetic field over a conductor will produce an electromotive force and electric current in the conductor. The voltage generated in a coil is inversely proportional to the number of electrons in the loop.

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A 2.4 Henry inductor is connected in series with a 12.0 Volt direct current battery, a 6.0 Ohm resistor, and a switch.  The switch is open so no current is flowing in the circuit.  Explain what happens to the current once the switch is closed.  Intelligently use "Faraday's law" and "Lenz's law"  and "time constant" in your explanation.  Describe what a graph of current versus time would look like, what it's value would be at  time = 0, and what its value would be after a very long time.

A ground fault interrupter (GFI) is an electrical safety device which uses electromagnetic induction to compare the hot and neutral currents. If the difference between the two exceeds the GFI interrupts the circuit, as this is the maximum amount of harmless current that could "leak" into the human body. 25 mA O 250 mA 500 mA 50 mA O 5 mA

2. The current in a very long solenoid with radius a and n turns per unit length varies over time as i(t) = Ct². Concentric with the solenoid is a conducting ring of radius r. a) Write an expression for the potential difference induced in the ring. b) Write an expression for the magnitude of the electric field induced at an arbitrary point on the ring. c) Is the ring necessary for the induced electric field to exist? Radius = r Radius i(t) = Ct² -O V = V(t) = a

17. The magnetic flux through three different coils is changing as shown in Figure P21.17. For each situation, draw a corresponding graph showing quantitatively how the induced emf changes with time. FIGURE P21.17 $(T•m²) 0.4 0.2 0 0 2 4 (T • mỏ) 0.4 0 01234 p(T•mỏ) +0.2 A 1 2 3 t(s) -0.2 -t (s)