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 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. 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. Clicker Question Consider the coaxial cable. In such a cable, a current I runs in one direction along the outer hollow conducting cylinder and is spread evenly over the cylinder’s cross sectional area. An equal current runs in the opposite direction along the central wire. How does the magnitude of B outside the coax cable depend on distance r from the central axis of the cable? A) B proportional to 1/r B) B is proportional to 1/r2 C) B is constant and non-zero D) B is zero central wire outer hollow conductor Clicker Question Consider the coaxial cable. In such a cable, a current I runs in one direction along the outer hollow conducting cylinder and is spread evenly over the cylinder’s cross sectional area. An equal current runs in the opposite direction along the central wire. How does the magnitude of B outside the coax cable depend on distance r from the central axis of the cable? A) B proportional to 1/r B) B is proportional to 1/r2 C) B is constant and non-zero D) B is zero central wire outer hollow conductor Figure 29.6 Figure 29.14 Clicker Question A circular loop of wire is in a region of spatially uniform magnetic field. The magnetic field is directed into the plane of the figure. If the magnetic field magnitude is constant, A. the induced emf is clockwise. B. the induced emf is counterclockwise. C. the induced emf is zero. D. The answer depends on the strength of the field. Clicker Question A circular loop of wire is in a region of spatially uniform magnetic field. The magnetic field is directed into the plane of the figure. If the magnetic field magnitude is constant, A. the induced emf is clockwise. B. the induced emf is counterclockwise. C. the induced emf is zero. D. The answer depends on the strength of the field. Clicker Question A circular loop of wire is in a region of spatially uniform magnetic field. The magnetic field is directed into the plane of the figure. If the magnetic field magnitude is decreasing, A. the induced emf is clockwise. B. the induced emf is counterclockwise. C. the induced emf is zero. D. The answer depends on the strength of the field. Clicker Question A circular loop of wire is in a region of spatially uniform magnetic field. The magnetic field is directed into the plane of the figure. If the magnetic field magnitude is decreasing, A. the induced emf is clockwise. B. the induced emf is counterclockwise. C. the induced emf is zero. D. The answer depends on the strength of the field. Clicker Question The wire coil is in a uniform magnetic field and is being squeezed as shown. While the coil is being squeezed, the direction of the induced emf in the coil is: A) Clockwise B) Counterclockwise C) Zero D) None of the above Clicker Question The wire coil is in a uniform magnetic field and is being squeezed as shown. While the coil is being squeezed, the direction of the induced emf in the coil is: A) Clockwise B) Counterclockwise C) Zero D) None of the above Clicker Question A flexible loop of wire lies in a uniform magnetic field of magnitude B directed into the plane of the picture. The loop is pulled as shown, reducing its area. The induced current A. flows downward through resistor R and is proportional to B. B. flows upward through resistor R and is proportional to B. C. flows downward through resistor R and is proportional to B2. D. flows upward through resistor R and is proportional to B2. E. none of the above Clicker Question A flexible loop of wire lies in a uniform magnetic field of magnitude B directed into the plane of the picture. The loop is pulled as shown, reducing its area. The induced current A. flows downward through resistor R and is proportional to B. B. flows upward through resistor R and is proportional to B. C. flows downward through resistor R and is proportional to B2. D. flows upward through resistor R and is proportional to B2. E. none of the above Clicker Question The rectangular loop of wire is being moved to the right at constant velocity. A constant current I flows in the long straight wire in the direction shown. The current induced in the loop is A. clockwise and proportional to I. B. counterclockwise and proportional to I. C. clockwise and proportional to I2. D. counterclockwise and proportional to I2. E. zero. Clicker Question The rectangular loop of wire is being moved to the right at constant velocity. A constant current I flows in the long straight wire in the direction shown. The current induced in the loop is A. clockwise and proportional to I. B. counterclockwise and proportional to I. C. clockwise and proportional to I2. D. counterclockwise and proportional to I2. E. zero.