The figure shows an uneven arrangement of electrons (e) and protons (p) on a circular arc of radius r = 2.05 cm, with angles 0₁ = 31.0", 02=54.0°, 03=44.0°, and 04 = 32.0°. What are the (a) magnitude and (b) direction (relative to the positive direction of the x axis) of the net electric field produced at the center of the arc? P 6. P Өл (a) Number Unit N/C (b) Number ! Unit degrees
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- An alpha particle (a helium nucleus) is traveling along the positive x-axis at 1075 m/s when it enters a cylindrical tube of radius 0.800 cm centered on the x-axis. Inside the tube is a uniform electric field of 3.00 10-4 N/C pointing in the negative y-direction. How far does the particle travel before hitting the tube wall? Neglect any gravitational forces. Note: m? = 6.64 10-27 kg; q? = 2e. mTwo conducting hollow spheres share a common center. The inner sphere has the radius a = 5.0 cm and charge +3.2x10-6 C. The outer sphere has the radius b = 32 cm and charge -4.0x10-6 C. What is the electric field (in N/C) at a point P, r = 20 cm from the center of the spheres?Five equal negative charges are uniformly spaced in a semicircular arc of radius ro with its center at the origin. The charges positions in polar coordinates are given by ( ro, θi ), where the values of θi are 0°, 45°, 90°, 135°, and 180°. At the position ( x, y ) = ( ro, −ro ) in the 4th quadrant, which statement best describes the direction of the resulting electric field? Group of answer choices The direction is that of a 2nd quadrant angle. The direction is that of a 4th quadrant angle. The direction is that of a 1st quadrant angle. The direction is that of a 3rd quadrant angle.
- Two long, charged, thin-walled, concentric cylindrical shells have radii of 3.0 and 7.3 cm. The charge per unit length is 5.7 x 10-6 C/m on the inner shell and -7.5 x 10-6 C/m on the outer shell. What are the (a) magnitude E and (b) direction (radially inward or outward) of the electric field at radial distance r = 4.3 cm? What are (c) E and (d) the direction at r = 12 cm? (a) Number (b) ✓ (d) inward outward (c) Number i + Units Units → +Two long, charged, thin-walled, concentric cylindrical shells have radii of 2.5 and 4.0 cm. The charge per unit length is 6.9 × 106 C/m on the inner shell and -9.7 x 10-6 C/m on the outer shell. What are the (a) magnitude E and (b) direction (radially inward or outward) of the electric field at radial distance r = 3.5 cm? What are (c) E and (d) the direction at r = 6.5 cm? (a) Number i Units (b) (c) Number Units (d) >Two charged beads are on the plastic ring in Figure (a). Bead 2, which is not shown, is fixed in place on the ring, which has radius R = 60.4 cm. Bead 1 is initially on the x axis at angle = 0°. It is then moved to the opposite side, at angle =180°, through the first and second quadrants of the xy coordinate system. Figure (b) gives the x component of the net electric field produced at the origin by the two beads as a function of 0, and Figure (c) below gives they component. The vertical axis scales are set by Exs = 6.00 × 104 N/C and Eys = -10.80 x 104 N/C. (a) At what positive angle is bead 2 located? (Note: bead 2 is negative charged). What are the charges of (b) bead 1 and (c) bead 2? (a) Number (b) Number tel -90 i 2.43E-6 (c) Number i -4.38E-6 (a) Ex(10* N/C) Es (b) O -E R 90° Units Units Units -Ring -Bead 1 +0 180° C/m Ey (10¹ N/C) ° (degrees) C/m O Eys 90° 180° -8