Question

Lab Activity A14: 2-D Magnetic Fields Problem 2. A current i = 2.7 mA flows through a long, straight wire. Separately, a charge Q = -7. 5C with mass m = 5.3 x 10 23 kg is moving with speed v = 33.6 km/s at point P shown in the figure, Point P is a distance d = 2.9 cm from the wire. Q = -7.5C 1. What is the magnitude and direction of the magnetic field at point P? 2. What is the force (magnitude and direction) on the charge Q at point P? 3. What is the acceleration (magnitude and direction) of charge Q at point P? Must Haves Good sketch of each problem Draw and label all vectors Units on all numbers Show all work in your notebooks!

Answer 1

Q=-F.M Gfven Illworent) = 2. 7 mA chaxge) -.5 Mc mas (m) 5.3 X 103 KJ apeed) = 33CKmlaec distance d) 2.9 cm Sele thon ) magnitude magnetic field 27 d 8=24 X1ox 2.7 X10 27X 2.9 x 1 7 Here, lo = 4JX10 H1m 8= 2X2.7 2.9 T B =186 Y 10 of magneti field is perpendicular woant The distection to the distertion Mecond dight hond ule By

bMagnet'e dee on the charged particle, (gxA)6 F=-7.5X10 X 33 6 X 1000 X 1 g6 X10x 3 F468.72 X TO X 10 F468.72 x lo Dire tHon perpon dicular to the magnetic o fare feld Actele satio n c the chaxged part cle m 2x 5.3X 1023 a= 88.43 x1O mlsec Aceleration isin the oppaite ide o disecton g charye atteleration is in oppoite ditection to the motion Dinechon the diseiton momon.