SPH4UI Magnetic Test Name: Solutions - The Burns Home Page

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SPH4UI Magnetic Test Name: Solutions - The Burns Home Page

SPH4UI Magnetic TestName: SolutionsQUESTION 1 [1 Mark]This and the following two questions pertain to the following situation.An electron (charge = -1.67 × 10 -19 C, mass = 9.11 × 10 -31 kg) with velocityv = 4.6 × 10 6 m/s to the right enters a box 0.5 meters wide with a uniformmagnetic field pointing into the page.What is the direction of the magnetic force on the negatively chargedparticle when it first enters the box? [1 Mark]downQUESTION 2 [5 Marks]What is the minimum magnetic field B necessary to keep the particle from hitting the far side of the box?FC2vmr FM qvBmvB qr31 6 m9.1110 kg 4.610 s5.0210191.6710 C0.5m5TQUESTION 3 [3 Marks]What is the force that the electron experiences when in the minimum magnetic field?Fm qvBm s 19 6 1.67 10 C 4.6 10 5.02 105 T3.861017N


QUESTION 4 [1 Mark]This and the next 2 questions pertain to the following situation.A chamber is filled with a uniform magnetic field B with directionas shown (into the paper). Three particles X, Y and Z areproduced near the center of the region. Parts of their tracksthrough the chamber are shown in the figure. The tracks lie in theplane of the paperThe charge carried by particle X is PositiveQUESTION 5 [1 Mark]The charge carried by particle Z is NeutralQUESTION 6 [1 Mark]The charge carried by particle Y is [1 Mark] NegativeQUESTION 7 [3 Marks]6An electron in a television picture tube moves toward the front of the tube with a speed of 8.0 10 m .sSurrounding the neck of the television tube are coils of wire that create a magnetic field of magnitude 0.025 T,directed at an angle of 60° to the electron. Determine the magnetic force on the electron.Fm qvB sinm s 19 6 1.67 10 C 8.6 10 2.5 10 2 Tsin 603.11014N


QUESTION 8 [3 Marks]27A proton ( 1.67 10 kg ) is moving in a circular orbit of radius 14 cm in a uniform 0.35-T magnetic fieldperpendicular to the velocity of the proton. Find the linear speed of the proton.FC FM2vm qvBrqBrv m191.610 C0.35T 0.14m4.69101.67106ms27kgQUESTION 9 [3 Marks]A proton moving at138.2010 N64.00 10 m through a magnetic field of 1.70 T experiences a magnetic force of magnitudes. What is the angle between the proton’s velocity and the field? [3 Marks]sinFm qvB sinFmqvB1m sin 1 sin 48.9 F qvB8.20101319 6 1.610 kg 4.0010 1.70TNms


QUESTION 10 [5 Marks]Two long parallel wires are 1 cm apart as shown in the picture below. The current I 1 in the top wire is 15 A. The magneticfield B at point P (3 cm below the bottom wire) is measured to be 3.5 × 10 -5 T and points out of the page.What is the magnitude and direction of the current I 2 in the bottom wire? [5 Marks]BTuI02d7410 15A20.04m7.5105T5We are 11 10 T too littleIBB2du051110 T20.03m741016.5ATherefore 16.5 A to the leftQuestion 11 [8 Marks]This and the next 4 questions relate to the following2 mXWire 1(2 Amp)Wire 2(5 Amp)Two long, straight carrying wires (each 10 m in length) are positioned 2 m apart perpendicular to the paper asindicated in the figure below. In wire 1 the current (2 Amp) is coming out of the paper and in wire 2 the current(5 Amp) is going into the paper.a) What is the magnitude of the magnetic field at the location of wire 1 due to wire 2? [4 Marks]


uI0B 2d7410 5A22m5107Tb) What is the direction of this magnetic field at wire 1? [1 Mark]upc) What is the magnitude of the force on wire 1? [3 Marks]Fw BIL510 7 T 2A10m5110Nd) What is the direction of this force on wire 1? [1 Mark]awayQuestion 12 [1 Marks]This and the next questions pertain to the following situation.A proton (q = +1.6 × 10 -19 C, m = 1.673 × 10 -27 kg) travels in a clockwise circle within a solenoid, along thedashed line in the figure. The solenoid consists of 500 turns of wire, and carries a current of 0.4 A, producing amagnetic field of 0.0022 T within the solenoid.In which of these two directions could the magnetic field be pointing?(b) out of the page


QUESTION 13 [4 Marks]How long is the solenoid? Calculate the length along its axis (the direction perpendicular to the page).u0NIB Lu0NIL BTmA 0.0022T A7410 500 0.4 0.114mQUESTION 14 [1 Mark]As viewed in the diagram, in which direction does the current in the loops of the solenoid flow?(b) the current flows counter-clockwise.QUESTION 15 [3 Marks]The charge traverses a circular path of radius 0.4 cm. How fast is it moving?FC FM2vm qvBrqBrv m191.610 C0.0022T 0.00m 841.6ms1.6731027kg


QUESTION 16 [1 Mark]This and the next two questions pertain to the situation below.A charge (|q| = 1.6 × 10 -19 C, m = 1.673 × 10 -27 kg) enters a circular region in which a constant field (B = 0.08 T)points out of the page. It enters moving vertically at the exact bottom of the field and emerges movinghorizontally at the rightmost side. Ignore all forces other than that exerted by the magnetic field. Call theradius of this circular region r.What is the sign of the charge? [1 Mark](a) positiveQUESTION 17 [5 Marks]If the velocity of the charge is52.010 m s, what is radius of curvature?FC FM2vm qvBrmvr qB27 51.67310 kg 210191.610 C0.08T 0.026m

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