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1E6 Tutorial 5 Problem 1 (a) Explain what you mean by the time constant of a circuit that includes a resistor and capacitor connected in series (b) A 100 F capacitor is connected in series with a 8 k resistor. Determine (i) time constant of the circuit If the combination is connected to a 100 V supply, find (ii) the initial rate of rise of voltage across the capacitor, (iii) the initial charging current, (iv) the ultimate charge in the capacitor; and (v) the ultimate energy stored in the capacitor. Problem 2 Explain what is meant by the terms: electric field strength, electric flux density and the relative permittivity and give the units of these terms A capacitor consists of two metal plates, each 600 mm x 500 mm, spaced 1 mm apart. The space between the metal plates is occupied by a dielectric having a relative permittivity of 6, and a potential difference of 3 kV is maintained between the plates. Calculate: (i) the capacitance in pico Farads (ii) the electric field strength and (iii) the electric flux density in the dielectric. Problem 3 Explain the term time constant in connection with an inductive circuit A coil having a resistance of 25 and inductance of 2.5 H is connected across a 50 V d.c. supply. Determine (i) (ii) (iii) the initial rate of growth of the current; the value of the current after 0.10 s; and the time required for the current to grow to 1.8 A.