A square loop with sides of length L lies in the x-y plane in a region in which the magnetic field points in the z-direction and change over time as B(t)=B0e^(-5t/t0)k. Find the magnitude of the EMF induced in the wire, show the direction of the induced current in the loop using Lenz's law.
![A square loop with sides of length L lies in the r-y plane in a region in which the magnetic field points in the z-direction and changes over time as B(t)Boe-S/to (a) [5 pts Find the magnitude of the EMF induced in the wire, and sketch a plot of the EMF as a function of time. (b) [3 pts] You are looking from above onto the r-y plane, so that the positive z-axis points out of the paper toward you. What is the direction of the induced current in the loop (Counterclockwise or clockwise?) You will only get credits for your answer if you justify it clearly using Lenzs law](http://img.homeworklib.com/questions/38f2fbb0-ab89-11eb-af14-670190515d83.png?x-oss-process=image/resize,w_560)
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A square loop with sides of length L lies in the x-y plane in a
region...
Fig. 3 Problem 5 A square wire loop with sides of length L=2.00 m is perpendicular...
Fig. 3 Problem 5 A square wire loop with sides of length L=2.00 m is perpendicular to a uniform magnetic field pointing out of the page, with half the area of the loop in the field as shown in Fig. 3. The loop contains an ideal battery with emf Ebar=20.0 V. The magnitude of the field varies with time according to the expression B = 0.0420-0.870t, with B in Tesla and t in seconds. (a) Use Faraday's law to determine...
5. A circular loop in the plane of the page lies in a 0.5T magnetic field...
5. A circular loop in the plane of the page lies in a 0.5T magnetic field that is oriented into the page. The diameter of the loop changes from 20 cm to 8 cm in 0.5 s. Calculate: A. The direction of the induced current. (5 pts) B. The magnitude of the average induced emf. (5 pts) C. The average induced current if the coil resistance is 2.5 Q. (5 pts) 6. Calculate the direction of the current induced in...
A horizontal square wire loop of side d lies in a plane perpendicular to a uniform...
A horizontal square wire loop of side d lies in a plane perpendicular to a uniform magnetic field B pointing from above into the plane of the loop. The magnitude of magnetic eld ~ B is: B = 0.80 T. If in ∆t = 4.0 ms the wire is reshaped from a square to a rectangle of dimensions: L = 10.0 cm; W = 6.0 cm, but remains in the same plane. a - What is the side d of...
(a) A square loop of wire with sides of length 40cm is in a uniform magnetic...
(a) A square loop of wire with sides of length 40cm is in a uniform magnetic field perpendicular to its area. if the field's strength is initially 100mT and it decays to zero in 0.010 s, what is the magnitude of the average emf induced into the loop? (b) What is the average emf if the sides of the loop were only 20cm?
A rectangular wire loop with sides of length w =1.6 m and h = 0.50 m...
A rectangular wire loop with sides of length w =1.6 m and h = 0.50 m and net resistance R lies in the xy-plane. It is placed in a region which is occupied by a spatially-uniform but time-varying magnetic field B = B_0[1 - [t^2/t_0^2]] k where B_) = 0.70 T and t_0 = 3.0 s. A graph of the B-field's t-dependence is given below. What is the direction of the current induced around the wire loop at time t...
4.A square loop of wire, in the x-y plane, is pulled through a region in space...
4.A square loop of wire, in the x-y plane, is pulled through a region in space along the x axis with constant speed. It moves from x = 0 to x = 10.0 m. From from x = 3.0 m to x = 7.0 m there is a uniform magnetic field perpendicular to the plane of the loop, in the +z direction. Graph the induced current in the loop as a function of x. Explain the regions and values of...
2. RFID Tag Magnetic field: Consider a square loop of wire that lies in the x-y plane and carries...
2. RFID Tag Magnetic field: Consider a square loop of wire that lies in the x-y plane and carries an electric current lo. The center of the loop is located at the origin and each side has length a. The current flows in a counter-clockwise direction as shown in the figure below Note*: This is a common design for an RFID tag's antenna, we will analyze RFID tag detection at a later time. a) Using Biot-Savart's law, find an expression...
A very long wire and a square loop of wire lie in the plane of the...
A very long wire and a square loop of wire lie in the plane of the page as shown. Each side of the square is 15 cm in length, the resistance of the loop is 0.6 Ω, and the near side of the loop is 3 cm from the long wire. The current in the long wire is to the right and is increasing. At the moment, the current in the long wire is 6.5 A. The magnetic flux through...
(20 pts) A 10cm radius wire loop sits in the x-y plane. A magnetic flux of Ba- 10e-0StT 2 exists in the region of the loop. What is the induced EMF on the loop at t-2s? In what direction does the cur...
(20 pts) A 10cm radius wire loop sits in the x-y plane. A magnetic flux of Ba- 10e-0StT 2 exists in the region of the loop. What is the induced EMF on the loop at t-2s? In what direction does the current flow in the diagram shown below at this time? Draw an arrow to indicate the direction of the induced current. 丨 // r-10cm
(20 pts) A 10cm radius wire loop sits in the x-y plane. A magnetic flux...
Problem 2: A square conducting loop of length 20cm is placed in a region with magnetic...
Problem 2: A square conducting loop of length 20cm is placed in a region with magnetic field that changes with time: B = (B. - a t)(-ĉ), where B, and a are known constants. a) Find the total magnetic flux that passes through the loop as a function of time. b) Find the Emf that is induced c) Find the induced current I (magnitude and direction) if the loop has a resistance of 222
Fig. 3 Problem 5 A square wire loop with sides of length L=2.00 m is perpendicular to a uniform magnetic field pointing out of the page, with half the area of the loop in the field as shown in Fig. 3. The loop contains an ideal battery with emf Ebar=20.0 V. The magnitude of the field varies with time according to the expression B = 0.0420-0.870t, with B in Tesla and t in seconds. (a) Use Faraday's law to determine...
5. A circular loop in the plane of the page lies in a 0.5T magnetic field that is oriented into the page. The diameter of the loop changes from 20 cm to 8 cm in 0.5 s. Calculate: A. The direction of the induced current. (5 pts) B. The magnitude of the average induced emf. (5 pts) C. The average induced current if the coil resistance is 2.5 Q. (5 pts) 6. Calculate the direction of the current induced in...
A rectangular wire loop with sides of length w =1.6 m and h = 0.50 m and net resistance R lies in the xy-plane. It is placed in a region which is occupied by a spatially-uniform but time-varying magnetic field B = B_0[1 - [t^2/t_0^2]] k where B_) = 0.70 T and t_0 = 3.0 s. A graph of the B-field's t-dependence is given below. What is the direction of the current induced around the wire loop at time t...
4.A square loop of wire, in the x-y plane, is pulled through a region in space along the x axis with constant speed. It moves from x = 0 to x = 10.0 m. From from x = 3.0 m to x = 7.0 m there is a uniform magnetic field perpendicular to the plane of the loop, in the +z direction. Graph the induced current in the loop as a function of x. Explain the regions and values of...
2. RFID Tag Magnetic field: Consider a square loop of wire that lies in the x-y plane and carries an electric current lo. The center of the loop is located at the origin and each side has length a. The current flows in a counter-clockwise direction as shown in the figure below Note*: This is a common design for an RFID tag's antenna, we will analyze RFID tag detection at a later time. a) Using Biot-Savart's law, find an expression...
A very long wire and a square loop of wire lie in the plane of the page as shown. Each side of the square is 15 cm in length, the resistance of the loop is 0.6 Ω, and the near side of the loop is 3 cm from the long wire. The current in the long wire is to the right and is increasing. At the moment, the current in the long wire is 6.5 A. The magnetic flux through...
(20 pts) A 10cm radius wire loop sits in the x-y plane. A magnetic flux of Ba- 10e-0StT 2 exists in the region of the loop. What is the induced EMF on the loop at t-2s? In what direction does the current flow in the diagram shown below at this time? Draw an arrow to indicate the direction of the induced current. 丨 // r-10cm
(20 pts) A 10cm radius wire loop sits in the x-y plane. A magnetic flux...
Problem 2: A square conducting loop of length 20cm is placed in a region with magnetic field that changes with time: B = (B. - a t)(-ĉ), where B, and a are known constants. a) Find the total magnetic flux that passes through the loop as a function of time. b) Find the Emf that is induced c) Find the induced current I (magnitude and direction) if the loop has a resistance of 222
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