A wire carries a current of 2.7A from right to left as shown. Show all work. (a)

Question

A wire carries a current of 2.7A from right to left as shown. Show all work.

(a) What are the magnitude and direction of the magnetic field produced by the current at poin P, a distance of 3.0 cm from the wire?

(b) A potassium ion (q=+e) passes through point P and experiences a force directed right. What direction is the ion movin? 1. up 2. down 3. left 4. right 5. in 6. out

(c) If the magnitude of the foce on the ion is 1.4 x 10^-17 N, what is its speed?

A wire carries a current of 2.7A from right to left as shown. Show all work. a) What are the magnitude and direction of the magnetic field produced by the current at poin P, a distance of 3.0 cm from the wire? (b) A potassium ion (q=+e) passes through point P and experiences a force directed right. What direction is the ion movin? 1. up 2. down 3. left 4. right 5. in 6. out (c) If the magnitude of the foce on the ion is 1.4 x 10^-17 N, what is its speed?

Explanation / Answer

a. magntic field B = uoi./2piR

B = 4pie-7 * 2.7/(2pi* 0.03)

B = 1.8 *10^-5 T
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2 down
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apply F = qVB

speed V = 1.4e-17/(1.6e-19 * 1.8e-5)

V = 4.86 *10^6 m/s

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