The animation below illustrates a charged particle moving in circular motion due

Question

The animation below illustrates a charged particle moving in circular motion due to the magnetic force caused by a constant and uniform magnetic field oriented into the page. The blue crosses represent the tails of the magnetic field vectors. Use the blue sliders to adjust the mass, speed, particle charge and magnetic field magnitude. Change each parameter and observe the effect on the particle's motion. If the particle moves out of the applet window, press reset. A charged particle moving at right angles to a constant and uniform magnetic field experiences a magnetic force that causes it to move in a circle of radius. r = mv / |q| B Changing the sign of the charge changes the direction of rotation. Display in a New Window Calculate the radius of the circular orbit for the parameters specified below. Part (a) uses parameter values that can be set using the animation sliders, and you can use the animation to verify your calculations. Part (b) uses parameter values outside the range of the animation. Let the magnitude of the magnetic field B = 0. 5 T and let the charge be an electron moving with a speed of 4. 1 times 106 m / s. r = times 10-5 m Let the magnitude of the magnetic field B = 2 T and let the charge be an electron moving with a speed of 9. 1 times 106 m / s. r = times 10-5 m

Explanation / Answer

a) r = mv/qB = (9.109*10-31*4.1*106)/(1.602*10-19*0.5) = 4.66253 * 10-5 m

b) r = mv/qB = (9.109*10-31*9.1*106)/(1.602*10-19*2) = 2.58714 * 10-5 m

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