The circuit drawing is already given in the problem introduction. However, you can redraw this circuit to make it easier to reduce to a circuit with a single equivalent resistor. Which of the following circuits is equivalent to the circuit given in the problem? Resistor Circuits Learning Goal: To practice Problem-Solving Strategy 28.1 for resistor circuit problems. R4 Find the currents through each resistor in the circuit shown on the diagram (Figure 1). Use the following values: = 12.0 V , Ri-35.0 Ω , R2 = 22.0 Ω , R3 = 41.0 Ω , and R4 = 14.0 Ω Figure 1 of1 R3 R4 O R2

Consider a uniformly charged ring in the xy plane, centered at the origin. the ring has radius a and positive charge qdistributed evenly along its circumference. a)what is the direction of the electric field at any point on the z axis? . b)what is the magnitude of the electric field along the positive z axis? use k in your answer, where k=14πϵ0. d)the ball will oscillate along the z axis between z=d and z=−d in simple harmonic motion. what will be the angular frequency ω of these oscillations? use the approximation d≪a to simplify your calculation; that is, assume that d2+a2≈a2. express your answer in terms of given charges, dimensions, and constants