The charge entering the positive terminal of an element is q = 5 sin 4πt mc while the voltage across the element (plus to minus) is v = 3 cos 4πt v.

(a) find the power delivered to the element at t = 0.3 s.
(b) calculate the energy delivered to the element between 0 and 0.6 s.

(a). The power delivered to the element is 187.68 mW

(b). The energy delivered to the element is 57.52 mJ.

Explanation:

Given that,

Charge

Voltage

Time t = 0.3 sec

We need to calculate the current

Using formula of current

Put the value of charge

(a).We need to calculate the power delivered to the element

Using formula of power

Put the value into the formula

Put the value of t

(b). We need to calculate the energy delivered to the element between 0 and 0.6 s

Using formula of energy

Put the value into the formula

Hence, (a). The power delivered to the element is 187.68 mW

(b). The energy delivered to the element is 57.52 mJ.

a electromagnetic waves

the tires are rotating at 0.434 rpmlinear speed=45 m/sdiameter=0.550 mradius=0.275 mnow v= rωω= v/rω=45/0.275ω=163.6 rad/sω=163.6 rad/s (1rev/2π rad) (60s/1m)ω=1563 rpm