A constant magnetic field passes through a single rectangular loop whose dimensions are 0.33 m x 0.44 m. The magnetic field has a magnitude of 1.9 T and is inclined at an angle of 79° with respect to the normal to the plane of the loop. (a) If the magnetic field decreases to zero in a time of 0.49 s, what is the magnitude of the average emf induced in the loop? (b) If the magnetic field remains constant at its initial value of 1.9 T, what is the magnitude of the rate AA/At at which the area should change so that the average emf has the same magnitude? (a) Number 0107 Unite
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- In the figure, a wire loop of dimensions L = 42.1 cm and W = 25.2 cm lies in a magnetic field. What are the (a) magnitude 8 and (b) direction (clockwise or counterclockwise-or "none" if & = 0) of the emf induced in the loop if B = (4.00 x 10-2 T/m)yk? What are (c)8 and (d) the direction if B = (6.00 x 10-2 T/s)tk? What are (e) and (f) the direction if B = (8.14 x 10-2 T/m-s)ytk? What are (g) 8 and (h) the direction if B = (3.21 x 10-2 T/m-s)xt j? What are (i) and (i) the direction if B = (5.00 x 10-2 T/m-s)yti? WA circular coil of radius 0.120 m contains a single turn and is located in a constant magnetic field of magnitude 0.220 T. The magnetic field has the same direction as the normal to the plane of the coil. The radius increases to 0.330 m in a time of 0.0700 s. (a) Determine the magnitude of the emf induced in the coil. (b) The coil has a resistance of 0.610 Q. Find the magnitude of the induced current. (a) Number i (b) Number i Units Units V AA circular coil of radius 0.100 m contains a single turn and is located in a constant magnetic field of magnitude 0.240 T. The magnetic field has the same direction as the normal to the plane of the coil. The radius increases to 0.290 m in a time of 0.0900 s. (a) Determine the magnitude of the emf induced in the coil. (b) The coil has a resistance of 0.640 2. Find the magnitude of the induced current. (a) Number (b) Number i Units Units
- A 185‑turn circular coil of radius 3.79 cm and negligible resistance is immersed in a uniform magnetic field that is perpendicular to the plane of the coil. The coil is connected to a 14.5 Ω resistor to create a closed circuit. During a time interval of 0.147 s, the magnetic field strength decreases uniformly from 0.537 T to zero. Find the energy ? in millijoules that is dissipated in the resistor during this time interval.In the figure, a wire loop of dimensions L= 42.3 cm and W = 26.5 cm lies in a magnetic field. What are the (a) magnitude 8 and (b) direction (clockwise or counterclockwise-or "none" if g = 0) of the emf induced in the loop if B = (5.40 x 102 T/m)yk? What are (c)8 and (d) the direction if B = (6.19 × 10-2 T/s)tk ? What are (e)g and (f) the direction if B - (8.18 x 10-2 T/m-s)ytk ? What are (g)g and (h) the direction if B (3.13x 10-2 T/m-s)xtj? What are (i)8 and (j) the direction if B = (5.00 x 10-2 T/m-s)yti? (a) Number i Units (b) (c) Number i Units (d) (e) Number i Units (f)A square coil with a side length of 13.0 cm and 35 turns is positioned in a region with a horizontally directed, spatially uniform magnetic field of 77.0 mT and set to rotate about a vertical axis with an angular speed of 1.20 ✕ 102 rev/min. (a) What is the maximum emf induced in the spinning coil by this field? V(b) What is the angle between the plane of the coil and the direction of the field when the maximum induced emf occurs? (Enter the angle with the smallest possible magnitude.) °
- A magnetic field is perpendicular to the plane of a single-turn circular coil. The magnitude of the field is changing, so that an emf of 0.22 V and a current of 4.3 A are induced in the coil. The wire is then re-formed into a single-turn square coil, which is used in the same magnetic field (again perpendicular to the plane of the coil and with a magnitude changing at the same rate). What (a) emf and (b) current are induced in the square coil? (a) Number i (b) Number i Units UnitsA circular coil of radius 0.140 m contains a single turn and is located in a constant magnetic field of magnitude 0.290 T. The magnetic field has the same direction as the normal to the plane of the coil. The radius increases to 0.300 m in a time of 0.0880 s. (a) Determine the magnitude of the emf induced in the coil. (b) The coil has a resistance of 0.660 0. Find the magnitude of the induced current. (a) Number i Units (b) Number UnitsA coil with radius 4.00 cm contains 500 turns, and is placed in a uniform magnetic field that varies with time according to B = (0.0120T / s) t + (3.00x10^-5 T / s^4) t^4. The coil is connected to a 600 ohms resistance, and its plane is perpendicular to the magnetic field. Coil resistance can be ignored. (a) Find the magnitude of the induced emf in the coil as a function of time. (b) What is the current in the resistance at time t = 5.00s? Clearly explain your answers.
- A circular wire coil with 12 turns and radius 3.92 cm is placed in a uniform magnetic field of strength 6.07 T, directed perpendicular to the plane of the wire loops. Over a period of 2.36 s, the magnetic field fades away to zero. What is the average induced emf (voltage) in the coil over this period of time?A circular loop with a radius of 0.21 m is rotated by 90.0° over 0.210 s in a uniform magnetic field with B = 1.40 T. The plane of the loop is initially perpendicular to the field and is parallel to the field after the rotation. (a) What is the average induced emf in the loop? V(b) If the rotation is then reversed, what is the average induced emf in the loop? V