Three point charges are located on a circular arc as shown in the figure below. (Let r = 3.60 cm. Assume that the +x-axis is to the right and the +y-axis is up along the page.) (a) What is the total electric field at P, the center of the arc? magnitude N/C direction (b) Find the electric force that would be exerted on a -4.60 nC point charge placed at P. magnitude N direction
Near Earth, the density of protons in the solar wind (a stream of particles from the Sun) is 11.7 cm−3, and their speed is 546 km/s. (a) Find the current density of these protons. (b) If Earth's magnetic field did not deflect the protons, what total current would Earth receive? (a) Number Units (b) Number Units
Two particles, one with charge −3.77×10−6 C and the other with charge 6.07×10−6 C, are 0.0659 m apart. What is the magnitude |F→| of the force that one particle exerts on the other? |F→| = N Two new particles with identical positive charge q3 are placed the same 0.0659 m apart. The force between them is measured to be the same as that between the original particles. What is q3? q3 = C
In the figure, point P1 is at distance R = 11.8 cm on the perpendicular bisector of a straight wire of length L = 17.7 cm carrying current i = 66.5 mA. (Note that the wire is not long.) What is the magnitude of the magnetic field at P1 due to? Number Units
An asteroid is moving along a straight line. A force acts along the displacement of the asteroid and slows it down. The asteroid has a mass of 3.8×104 kg, and the force causes its speed to change from 6900 to 5400 m/s. (a) What is the work done by the force? (b) If the asteroid slows down over a distance of 1.4×106 m determine the magnitude of the force. (a) Work = (b) F =
An external force moves a 30 nC charge at a steady speed from a point where V = 210 V to a point where V = −50 V. Part A How much work does this force do on the charge? Express your answer to two significant figures and include the appropriate units. W = Value Units
In the figure shown below, three charges are places at the corners of a rectangle. Charges q1 and q2 are located in the upper left and right corners, respectively and charge q3 is places in the lower left corner. The separation distance of q1 and q3 is the distance a. The lower right corner, which does not contain a charge, is labeled as point P1. A second point, P2, is on the top side of the rectangle, a distance b from charge q1 and c from charge q2. For this question, let q1 = 58.00000 nC, q2 = −12.00000 nC, q3 = −20.00000 nC, a = 12.00000 cm, b = 16.00000 cm and c = 6.00000 cm. (If you wish to get correct answers, then be sure to use ke = 9.00000×109 N⋅m2 /C2 and e = 1.60000×10−19 C.) The angle of the electric field at point P2 due only to q3, as measured from the positive x-axis, in degrees and to three decimal places, is
How many electrons would have to be removed from a coin to leave it with a charge of +3.6×10−8 C? Number Units
The acceleration of a particle is given by ax(t) = −2.10 m/s2 + (2.98 m/s3)t Part A Find the initial velocity v0x such that the particle will have the same x-coordinate at time t = 4.02 s as it had at t = 0. Express your answer in meters per second. v0x = m/s Submit Request Answer Part B What will be the velocity at time t = 4.02 s? Express your answer in meters per second. Submit Request Answer
Three point charges are arranged as shown in the figure below. Find the magnitude and direction of the electric force on the particle q = 4.90 nC at the origin. (Let r12 = 0.325 m.) magnitude N direction ∘ counterclockwise from the +x axis
A uniform electric field of magnitude 290 V/m is directed in the negative y direction as shown in the figure below. The coordinates of point (A) are (−0.500, −0.650) m, and those of point (B) are (0.450, 0.600) m. Calculate the electric potential difference VB−VA using the dashed-line path. V
Charge q1 = +q is located at position (0, d). Charge q2 = −3 q1 is located at position (d, 0). Charge q3 = 5 q1 is located at position (2d, 2d). Determine the net electric field E→net at the origin in terms of the given quantities and physical constants, including the permittivity of free space ε0. Express the electric field using ij unit vector notation. Enter precise fractions and roots rather than entering their approximate numerical values.
The equation E = 12πε0 qdz3 is approximation of the magnitude of the electric field of an electric dipole, at points along the dipole axis. Consider a point P on that axis at distance z = 17.00 d from the dipole center (d is the separation distance between the particles of the dipole). Let Eappr be the magnitude of the field at point P as approximated by the equations below. Let Eact be the actual magnitude. What is the ratio Eappr/Eact? Number Units
A man with superpowers flies from the top of a building as shown in the figure. (a) What are the horizontal and vertical components of the man's 160 m displacement (in m), if θ = 28.0∘? Use signs to indicate the directions of the displacement components. (Use signs to indicate the directions of the displacement components.) horizontal displacement m vertical displacement m (b) What if? A man observes the superhero through a window located 28.0 m below the top of the building. What is the superhero's position (in m) relative to the man at the end of the displacement in part (a)? (Use signs to indicate the directions of the displacement components.) horizontal displacement m vertical displacement m
A charge +q is located at 3.000 cm, a second charge −2q is located at 8.000 cm, and a third charge +q is located at 11.00 cm. The magnitude of q is 1.250 μC. Assume that the positive direction is to the right, and use k = 8.988×109 N⋅m2 /C2 for the Coulomb constant. What is the force Fx on the charge located at x = 8.000 cm? Fx =
A tennis player tosses a tennis ball straight up and then catches it after 1.64 s at the same height as the point of release. (a) What is the acceleration of the ball while it is in flight? magnitude m/s2 direction (b) What is the velocity of the ball when it reaches its maximum height? magnitude m/s direction (c) Find the initial velocity of the ball. m/s upward (d) Find the maximum height it reaches. m
Part A An electric dipole is formed from two charges, ±q, spaced 1.20 cm apart. The dipole is at the origin, oriented along the y-axis. The electric field strength at the point (x, y) = (0 cm, 10 cm) is 390 N/C. What is the charge q? Give your answer in nC. Express your answer in nanocoulombs to three significant figures. View Available Hint(s) q = nC Submit Part B What is the electric field strength at the point (x, y) = (10 cm, 0 cm)? Express your answer with the appropriate units. View Available Hint(s) E = Value Units Submit