LRC Circuits

Please refer to the attached file. How much should damping ( ) affect the result of the angular frequency for impulse response? (see attachment) In equation XVI.5, the details of the differentiation of I(t) are omitted. Take the derivative of I(t) and explicitly show how the voltage across the inductor L varies with time. (see attachment for equations)

Electric potential

Hi. Can someone please walk me through how to do the following problem? A typical 12-V car battery can deliver 7.5 x 10^5 C of charge. If the energy supplied by the battery could be converted entirely to kinetic energy, what speed would it give to a 1200-kg car? Thank you!

electric potential

Hi. Can someone please explain to me what exactly the electric potential is and how it differs from electric potential energy -- not with equations, but in prose. (Or at least, with both.) I can read the equation, but I don't really understand what electric potential IS. What is its significance? Thank you!

Electric Field

Does the electric field only move in the + ---> - direction? Or does it depend on the charge, so that the electric field moves in a + ---> - direction for a + charge and moves in the - ---> + direction for a - charge? In the latter case, if a + charge is moving toward the - plate of a capacitor, is its direction negative since it's moving toward the negative, or is its direction positive, since it's moving with the electric field?

parallel plate capacitor

Hi. Can someone please check my answers to this question? A parallel-plate capacitor is connected to a battery that maintains potential difference V between the plates. If the plates of the capacitor are pulled farther apart, do the following quantities increase, decrease, or remain the same? (a) Electric field between the plates; (b) charge on the plates; (c) capacitance; (d) energy stored in the capacitor. My answers: (a) E decreases, based on the equation E = - dV/ds (b) Q decreases, based on C = Q/V = (e0)(A)/d (c) C decreases, based on C = (e0)(A)/d (d) U decreases, based on U - 1/2QV = 1/2V(e0)AV/d Thank you