A resistor of R resistance and a discharged capacitor of C capacitance are joined in series with the ideal battery of EMF E. At time t, determine the rate at which (i) the charge of the capacitor is rising, (ii) energy is being stored in the capacitor, (iii) thermal energy is appearing in the resistor and (iv) energy is being delivered through the battery? (v) When is the power delivered to the capacitor a maximum (vi) determine that maximum? (vii) When is the power in resistor a maximum (viii) determining that maximum? State your answers in terms of the variables given.