Clicker Question Recall that ∫ E ⋅ dA = qenc /ε0 What is the total flux of the magnetic field through any closed surface? ∫ B ⋅ dA = ? A) zero B) Ienc times a positive constant C) -Ienc times a positive constant Clicker Question Recall that ∫ E ⋅ dA = qenc /ε0 What is the total flux of the magnetic field through any closed surface? ∫ B ⋅ dA = ? A) zero B) Ienc times a positive constant C) -Ienc times a positive constant Clicker Question A proton (+) and an electron (-) move side by side both with velocity v as shown. What is the direction of the magnetic field at the electron due to the proton (in our “laboratory” frame of reference)? A) into page B) out of page C) upward D) downward E) to the right v v + - Clicker Question A proton (+) and an electron (-) move side by side both with velocity v as shown. What is the direction of the magnetic field at the electron due to the proton (in our “laboratory” frame of reference)? A) into page B) out of page C) upward D) downward E) to the right v v + - Clicker Question A proton (+) and an electron (-) move side by side both with velocity v as shown.The magnetic field is into the page, by RHR. What is the direction of the magnetic force on the e- ? A) into page B) out of page C) upward D) to the left E) to the right v v + - Clicker Question A proton (+) and an electron (-) move side by side both with velocity v as shown.The magnetic field is into the page, by RHR. What is the direction of the magnetic force on the e- ? A) into page B) out of page C) upward D) to the left E) to the right v v + - Clicker Question A proton (+) and an electron (-) move side by side both with velocity v as shown. The total force on the electron is still attractive, but weaker than if no magnetic force were present. What is the total force on the electron if v=c? A) 0 B) infinite, away from the proton C) infinite, toward the proton v v + - Clicker Question A proton (+) and an electron (-) move side by side both with velocity v as shown. The total force on the electron is still attractive, but weaker than if no magnetic force were present. What is the total force on the electron if v=c? A) 0 B) infinite, away from the proton C) infinite, toward the proton v v + - Clicker Question Two positive point charges move side by side in the same direction with the same velocity. What is the direction of the magnetic force that the upper point charge exerts on the lower one? +q +q A. toward the upper point charge (the force is attractive) B. away from the upper point charge (the force is repulsive) C. in the direction of the velocity D. opposite to the direction of the velocity E. none of the above Clicker Question Two positive point charges move side by side in the same direction with the same velocity. What is the direction of the magnetic force that the upper point charge exerts on the lower one? +q +q A. toward the upper point charge (the force is attractive) B. away from the upper point charge (the force is repulsive) C. in the direction of the velocity D. opposite to the direction of the velocity E. none of the above Clicker Question y A long straight wire lies along the y–axis and carries current in the positive y–direction. A positive point charge moves along the x– axis in the positive x–direction. The magnetic force that the wire exerts on the point charge is in A. the positive x–direction. B. the negative x–direction. C. the positive y–direction. D. the negative y–direction. E. none of the above O +q I x Clicker Question y A long straight wire lies along the y–axis and carries current in the positive y–direction. A positive point charge moves along the x– axis in the positive x–direction. The magnetic force that the wire exerts on the point charge is in A. the positive x–direction. B. the negative x–direction. C. the positive y–direction. D. the negative y–direction. E. none of the above O +q I x Clicker Question The wire shown here is infinitely long and has a 90° bend. If current flows in the wire as shown, what is the direction of the magnetic field at P due to the current? A. to the right B. to the left C. out of the plane of the figure D. into the plane of the figure E. none of these Clicker Question The wire shown here is infinitely long and has a 90° bend. If current flows in the wire as shown, what is the direction of the magnetic field at P due to the current? A. to the right B. to the left C. out of the plane of the figure D. into the plane of the figure E. none of these Clicker Question A wire consists of two straight sections with a semicircular section between them. If current flows in the wire as shown, what is the direction of the magnetic field at P due to the current? A. to the right B. to the left C. out of the plane of the figure D. into the plane of the figure E. misleading question — the magnetic field at P is zero Clicker Question A wire consists of two straight sections with a semicircular section between them. If current flows in the wire as shown, what is the direction of the magnetic field at P due to the current? A. to the right B. to the left C. out of the plane of the figure D. into the plane of the figure E. misleading question — the magnetic field at P is zero Clicker Question Point P is at a perpendicular distance x from each wire carry current I in the directions indicated. What is the magnetic field B at point P? I A) 0 B) µoI/(2πx) C) µoI/(πx) D) not sure E) all of the above x I x P Clicker Question Point P is at a perpendicular distance x from each wire carry current I in the directions indicated. What is the magnetic field B at point P? I A) 0 B) µoI/(2πx) C) µoI/(πx) D) not sure E) all of the above x I x P Clicker Question The figure shows, in cross section, three conductors that carry currents perpendicular to the plane of the figure. If the currents I1, I2, and I3 all have the same magnitude, for which path(s) is the line integral of the magnetic field equal to zero? A. path a only B. paths a and c C. paths b and d D. paths a, b, c, and d E. The answer depends on whether the integral goes clockwise or counterclockwise around the path.