For the wire arrangement in the figure, a = 9.73 cm and b = 12.6 cm. The current in the long straight wire is given by i = 5.27t2 - 9.53t, where i is in amperes and t is in seconds. (a)Find the emf in volts in the square loop at t = 4.05 s. (b) What is the direction of the induced current in the loop?
For the wire arrangement in the figure, a = 9.73 cm and b = 12.6 cm....
In the figure, a rectangular loop of wire with length a = 3.8 cm, width b = 1.3 cm, and resistance R = 0.71 m? is placed near an infinitely long wire carrying current i = 6.7 A. The loop is then moved away from the wire at a constant speed v = 4.8 mm/s. When the center of the loop is at distance r = 2.8 cm, what are (a) the magnitude of the magnetic flux through the loop...
rectangular loop with sides of length a= 1.10 cm and b= 2.80 cm is placed near a wire that carries a current that varies as a function of time: it=2.01 + 1.22t2 where the current is in Amperes and the time is in seconds. The distance from the straight wire to the closest side of the loop is d= 0.270 cm. What is the magnetic flux through the loop at time t= 1.40 seconds? (Define positive flux into the page.)...
A square, single-turn wire loop ℓ = 1.00 cm on a side is placed inside a solenoid that has a circular cross section of radius r = 3.00 cm, as shown in the end view of the figure below. The solenoid is 24.5 cm long and wound with 104 turns of wire. (a) If the current in the solenoid is 2.30 A, what is the magnetic flux through the square loop? T · m2 (b) If the current in the...
A loop of wire with radius r = 0.065 m is in a magnetic field with magnitude B as shown in the figure. B changes from B1= 0.65 T to B2 = 4.5s at a constant rate. The resistance of the wire is R = 19Ω. Part (a) Calculate the numerical value of the change in magnetic flux, ΔΦ in T·m2? Part (b) Calculate the numerical value of the average emf, s, induced in the loop in volts. Part (c) Calculate the numerical...
A loop of wire in the shape of a rectangle of width w and length L and a long, straight wire carrying a current I lie on a tabletop as shown in the figure below.(a) Determine the magnetic flux through the loop due to the current I. (Use any variable stated above along with the following as necessary: μ₀ . )ΦB=(b) Suppose the current is changing with time according to I=a+b t, where a and b are constants. Determine the...
A loop of wire in the shape of a rectangle of width w and length L and a long, straight wire carrying a current I lie on a tabletop as shown in the figure below. (a) Determine the magnetic flux through the loop due to the current I. (b) Suppose the current is changing with time according to I = a + bt, where a and b are constants. Determine the magnitude of the emf that is induced in the loop if...
In the figure, a rectangular loop of wire with length a = 3.8 cm, width b = 2.2 cm, and resistance R = 0.70 mΩ is placed near an infinitely long wire carrying current I = 4.7 A. The loop is then moved away from the wire at a constant speed v = 3.9 mm/s, when the center of the loop is at distance r = 7.9 cm, what are (a) the magnitude of the magnetic flux through the loop...
A loop of wire with radius r = 0.075 m is in a magnetic field with magnitude B as shown in the figure. B changes from B1= 0.35 T to B2 = 3.5s T in Δt=8.5s at a constant rate. The resistance of the wire is R = 1Ω. Part (a) Calculate the numerical value of the change in magnetic flux, ΔΦ in T·m2? Part (b) Calculate the numerical value of the average emf, ε, induced in the loop in volts. Part (c)...
A long straight wire has a current that is decreasing at a rate of 23 A/s and is directed as shown on the attached figure. There is a single rectangular loop of wire near the long wire located as shown on the figure. a) Determine the induced EMF in the loop. b) Find the magnitude and direction of the induced current if the loop wire is made of aluminum and has a radius of 0.5 cm. っ← 2. Cn s...
The current in the long, straight wire AB shown in the figure is upward and is increasing steadily at a rate di/dt. You may want to review (Page). For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of Emf and current induced in a loop. Part A At an instant when the current is i, what are the magnitude of the field B at a distance r to the right of the wire? Part B At an instant when the...