(Ill) A thin ring-shaped object of radius a contains atotal charge Q uniformly distributed over its length. Theelectric field at a point on its axis a distance x fromits center is given in Example 21-9 asE = 1 Qx47re0 (x2 + a2)2(a) Take the derivative to find where on the x axis (x > 0) Exis a maximum. Assume Q = 6.00 fxC and a = 10.0 cm.(b) Calculate the electric field for x = 0 to x = +12.0 cm insteps of 0.1 cm, and make a graph of the electric field. Does themaximum of the graph coincide with the maximum of the electricfield you obtained analytically? Also, calculate and graphthe electric field (c) due to the ring, and (d) due to a pointcharge Q = 6.00 /xC at the center of the ring. Make a singlegraph, from x = 0 (orx = 1.0 cm) out to x = 50.0 cm in1.0 cm steps, with two curves of the electric fields, and showthat both fields converge at large distances from the center.(e) At what distance does the electric field of the ring differfrom that of the point charge by 10%?
Lecture objectives 13 1. What are the functional groups of muscles Head, facial, neck, shoulder arm, forearm, thorax, abdomen, pelvis, thigh, leg 2. How organization and attachments of muscles dictate movement Agonist (primary mover) - muscle that has the major responsibility for producing a specific movement Antagonist - muscle that oppose or reverse a specific movement Synergist - assist prime mover by adding extra force or reduction unnecessary movement Fixator - kind of synergist that hold bone in place Origin - attachment at fix or immovable bone Insertion - attachment on the moveable bone Fascicle arrangement Circular Convergent Parallel Fusiform Pennate - Uni- Bi- Multi- Upper limb - A muscle that crosses the anterior side of a joint pro