You are tasked with designing a parallel-plate capacitor using two square metal plates, eachwith an area of 0.5 m², separated by a 0.1 mm thick layer of air. However, to increase the capacitance,you decide to insert a dielectric material with a dielectric constant κ = 3.0 between the plates. Describewhat happens (and why) to the E field between the plates when the dielectric is added in place of theair.

Calculate the work required to assemble a uniform charge Q on a thin spherical shell of radiusR. Start with no charge and add infinitesimal charges dq until the total charge reaches Q, assuming thecharge is always evenly distributed over the shell’s surface. Show all steps.

Rod AB is fixed to a smooth collar D, which slides freely along the vertical guide shown in (Figure 1). Point C is located just to the left of the concentrated load P = 70 lb. Suppose that w= 17 lb/ft. Follow the sign convention. Part A Figure 3 ft -1.5 ft √30° 1 of 1 Determine the normal force at point C. Express your answer in pounds to three significant figures. ΜΕ ΑΣΦ Η vec Nc= Submit Request Answer Part B Determine the shear force at point C. Express your answer in pounds to three significant figures. VC= ΜΕ ΑΣΦΗ vec Submit Request Answer Part C Determine the moment at point C. Express your answer in pound-feet to three significant figures. Mc= Ο ΑΣΦ Η vec Submit Request Answer Provide Feedback ? ? lb lb ? lb-ft

Consider a uniformly charged ring of radius R with total charge Q, centered at the origin inthe xy-plane. Find the electric field (as a vector) at a point on the z-axis at a distance z above thecenter of the ring. Assume the charge density is constant along the ring.

3) If the slider block C is moving at 3m/s, determine the angular velocity of BC and the crank AB at the instant shown. (Use equation Vs Vc wx fuc, then use equation Vs VA + Ve/athen write it in terms of w and the appropriate r equate the two and solve) 0.5 m B 1 m 60° A 45° vc = 3 m/s

3) If the slider block C is moving at 3m/s, determine the angular velocity of BC and the crank AB at the instant shown. (Use equation Vs Vc wxf, then use equation V, VA + Va/Athen write it in terms of w and the appropriate r equate the two and solve) f-3m

Pls help ASAP

Pls help ASAP

14. A boy is out walking his dog. From his house, he walks 30 m North, then 23 m East, then 120 cm South, then 95 m West, and finally 10 m East. Draw a diagram showing the path that the boy walked, his total displacement, and then determine the magnitude and direction of his total displacement.