1. A loop conductor of area 1.0 m² is positioned perpendicular to a uniform 1.5 T magnetic field. a. What is the emf induced when the area of the loop changes to 1.5 m? in 0.1 seconds? b. What is the emf induced if the loop has 10 turns?

5. A jet airplane with a 75.0 m wingspan is flying at 280 m/s. What emf is induced between wing tips if the vertical component of the Earth's field is 3.00 x 10-5 T? 6. As shown in the figure, a wire and a 10-N resistor are used to form a circuit in the shape of a square with dimensions 20 cm by 20 cm. A uniform but non-steady magnetic field is directed into the plane of the circuit. The magnitude of the magnetic field is steadily decreased from 2.70 T to 0.90 T in a time interval of 96 ms. What is the induced current in the circuit, and what is its direction through the resistor? - 20 cm → 20 cm ww a 10 Ω X X X X X X

Suppose a 57-turn coil lies in the plane of the page in a uniform magnetic field that is directed into the page. The coil originally has an area of 0.270 m2. It is stretched to have no area in 0.110 s. What is the magnitude of the induced emf if the uniform magnetic field has a strength of 1.40 T? What is the direction of induced emf? CCW CW

A circular loop rotates at constant speed about an axle through the centerof the loop. Shown is an edge view and defines the angle Φ, which increases from 0° to 360° as the loop rotates.a. At what angle or angles is the magnetic flux a maximum?b. At what angle or angles is the magnetic flux a minimum?c. At what angle or angles is the magnetic flux changing most rapidly?

Suppose a magnetic field B(t) oscillates with frequency w. A circular loop of copper lies perpendicular to the magnetic field. The radius of the circular loop is r. a. Write down an expression for the magnetic field as a function of time. Determine the induced emf & in the loop of wire and use this to calculate the current generated in the loop as a function of time. b. What is the power dissipation in the wire as a function to time? Make a sketch of this function. What is the average power Pave dissipation in the wire? Hint: what is the average value of the function you sketched? C. Recall that power is a rate of energy transfer, and that power dissipated by a resistor leads to a change in the thermal energy of the material (in this case the copper wire). We can relate a change in thermal energy to a change in temperature by AT where M is the total mass and c ΔΕth Mc is the specific heat capacity of the material (see page 526 for details). Find an expression for a dT - differential…

12. The current in a long solenoid of radius R and n number of turns per unit length is increasing linearly with respect to time, where I = at. Two ideal voltmeters are connected across two resistors (R, and R₂) that will measure induced voltage in a square coil of length L. V₁ R₁ b Solenoid a R₂ V₂ a. Determine the flux through the solenoid as a function of time. b. Determine the magnitudo ond

In each of the diagrams shown below, indicate the direction of the magnetic force on the wire. B B B B

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A conducting wire loop of radius 12 cm, that contains a 4.0-2 resistor, is in the presence of a uniform magnetic field of strength 3.0 T that is perpendicular to the plane of the loop. If the magnetic field is turned off in a time of 0.50 s, what is the current induced in the loop? a. 52 mA b. 68 mA O c. 95 mA d. 117 mA O e. 168 mA

A small circular coil of 20 loops of wire having a radius of 1 cm is at rest in the X-y plane (so the normal to the loop points in the +z-direction). A uniform magnetic field of 0.5 T is turned on in the +x-direction. What is the magnetic flux through the loop? a. 7.85 x 10 Tm² b. 1.57 x 10 4 T m² O c. 3.14 x 10 3 T m2 O d. 0 T m2