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- (a) Show that the period of the circular orbit of acharged particle moving perpendicularly to a uniformmagnetic field is T=2*pi*m/ (QB) . (b) What is thefrequency? (c) What is the angular velocity? Note that these results are independent of the velocity andradius of the orbit and, hence, of the energy of theparticle. (Figure 22.64.)The arrangement illustrated in the figure below is composed of six finite straight wires of length l. The electric current flowing in such an arrangement is i. Using the Biot-Savart law, calculate: The magnitude of the magnetic field at point P due to the wire located along segment ab.The answer is in the second image. I am trying to use the standard biot-savart, which is B = (μ0*I/4π) * ∫dl * sinθ / r^2, and it always gives me 16*pi*l at the denominator, instead of 8pi*l. Solve it using B = (μ0*I/4π) * ∫dl * sinθ / r^2, and note that the image with the answer is correct.The potential difference V(t) between parallel plates shown above is instantaneously increasing at a rate of 107V/s. What is the displacement current between the plates if the separation of the plates is 1.00 cm and they have an area of 0.200m2?
- Shown is a 15-cm-long metal rod pulled along two frictionless, conducting rails at a constant speed of 3.5 m/s. The rails have negligible resistance, but the rod has a resistance of 0.65 Ω.a. What is the current induced in the rod?b. What force is required to keep the rod moving at a constant speed?1) The magnetic flux density in a region of free space is given by B = 2xy ax - 3y ay +2z az T. Find the total force on the rectangular loop shown which lies in the plane z = 0 and is bounded by x = 1, x = 2, y = 5, and y = 7, all dimensions in cm. with I=30 A, in anti-clock wise directionTwo long, parallel wiresseparated by a distance 2d carryequal currents in the same direction.An end view of the two wiresis shown in Figure P19.54, wherethe currents are out of the page.(a) What is the direction of themagnetic field at P on the x - axisset up by the two wires? (b) Find anexpression for the magnitude of thefield at P. (c) From your result to part (b), determine the fieldat a point midway between the two wires. Does your resultmeet with your expectation? Explain.
- A metal bar slides to the right under the action of an external force Fext, on a pair of parallel rails, without friction and conductors placed in a horizontal plane. The rails are separated by a distance L and are connected by a resistor R. We will assume that the resistance of the rails and the rod is negligible. The system is placed in a region with a uniform magnetic field B perpendicular to the page, and the induced current in the rod is observed to be directed down the page.a) If the rod is to slide with constant speed to the right, what must be the direction of the magnetic field B?b) If Fext = 10 N, R = 2ohm, L = 50 cm and v = 5 m / s, calculate the magnitude of the magnetic field to be applied.c) If now the external force is applied to the left and the rod moves to the left with the same speed, maintaining the same magnitude and direction of the magnetic field, in which direction does the induced current in the rod now go?A very long, straight current-carrying wire is bent at the middle two different ways, sothat it takes the shapes depicted in figures a) and b). Find the direction and magnitude of themagnetic field in both cases at the center C of the semicircle (of radius R = 10 cm), if the currentflowing in the wire is I = 2 A.A dielectric material with μ = μo, ε = 9εo σ = 4 S/m is placed between the plates of a parallel-plate capacitor. Calculate the frequency at which the conduction and displacement currents are equal.
- The potential difference V(t) between parallel plates shown above is instantaneously increasing at a rate of 107 V/s. What is the displacement current between the plates if the separation of the plates is 1.00 cm and theyhave an area of 0.200 m2 ?Derive the FARADAYS LAW AND LENZS LAW in term of magnetic field? you have to prove both laws for a case in which u have magnetic field lines and magnet.Please just help with this question: What would be the terminal velocity of the rod if all the conditions of part (b) of the problem where held, except there was also friction with a kinetic coefficient of ?k=0.0215? (Note: I believe the answer for b) is the induced current of 0.049 A if it helps)