B = B0 (1- t/T)
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Consider a conducting ring of radius a and resistance R.
Case I We first place the ring in a constant magnetic field B = B0 pointing into the page as shown in the following figure.
a) Calculate the magnetic flux Φ through the ring. Express the answer in terms of the defined parameters in the problem.
Case II Next, we place the ring from part a in a time-varying magnetic field given by:
B = B0 (1- t/T)
b) Calculate the induced emf in the loop
c) Calculate the magnitude of the induced current in the ring.
d) State the direction of the induced current in the ring. Sketch the current and justify your
answer.
e) Calculate the power dissipated due to the resistance of the loop.
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- Can you please answer g & h?A rectangular loop of wire with dimensions 1.20 cm by 9.00 cm and resistance 0.700 N is being pulled to the right out of a region of uniform magnetic field. The magnetic field has magnitude 2.60 Tand is directed into the plane of (Figure 1) Part A At the instant when the speed of the loop is 3.00 m/s and it is still partially in the field region, what is the magnitude of the force that the magnetic field exerts on the loop? Express your answer with the appropriate units. HẢ ? FB = Value Units Submit Request Answer Part B Figure Provide Feedback RMagnetic and electric field lines are in many ways similar, with few crucial differences. Which of the properties listed below does NOT apply to both fields? O All of these properties apply to both E and B field lines. The density of lines is proportional to the field strength in that area. Field lines never intersect. Tangent to the line at a point gives you the direction of the field as that point. O Field lines form closed loops.
- e. Draw the Amperian loop that will allow you to find the magnetic field at a point P inside the cylinder (r < b). f. Write the integral B ds = $ B cos o ds in terms of the unknown B and the givens 7 and/or b. Your answer should look familiar. g. i. What is the current Ithru going through your Amperian loop? Hint: the current is spread out evenly over the cross-sectional area of the wire so set up a ratio of areas. Check that your expression for Ithrough has the dimensions of current. h. Use (f) and (g) to determine the magnetic field for rIn the figure below, point P is at a perpendicular distance a = 13 cm from one end of a straight wire of length L = 15 cm carrying current I = 6 A. (Note that the wire is not long, or infinite.) What are the magnitude and direction of the magnetic field at P? For direction, you can say into or out of the page.The magnetic field B at all points within the colored circle of the figure (Figure 1)has an initial magnitude of 0.700 T. (The circle could represent approximately the space inside a long, thin solenoid.) The magnetic field is directed into the plane of the diagram and is decreasing at the rate of 0.0300 T/s. Figure X X X X X B X /b X 1 of 1 10.0 cm Part C What is the current in the ring if its resistance is 4.00 $? ΑΣΦ I = Submit Part D X Incorrect; Try Again; 5 attempts remaining What is the emf between points a and b on the ring? ε = Previous Answers Request Answer Submit Part E ΠΙΑΣΦ Request Answer ? IVE ΑΣΦ ? A If the ring is cut at some point and the ends are separated slightly, what will be the emf between the ends? ? VPart b please▸ Part A What value of magnetic field would make a beam of electrons, traveling to the right at a speed of 5.4×100 m/s. go undeflected through a region where there is a uniform electric field of 9400 V/m pointing vertically up? Express your answer to two significant figures and include the appropriate units. B = 1.7x10-3 T Submit ✓ Correct Part B Previous Answers Part C What is the frequency of the circular orbit of the electrons if the electric field is turned off? Express your answer to two significant figures and include the appropriate units. HA f- Value Submit Request Answer Units ?only parts d and e