Table 10.4
10.4 Self-assessment test 241Mechanical Electrical analogue
Force source, P Current source, I
Velocity, v Voltage, V
Viscous resistance, B Conductance, G
Spring compliance, D Inductance, L
Mass, M Capacitance, C
P= By I=GV
v = DdP/dt V = LdI/dt
P-- Md(~/dt I = CdV/dt
10.4 SELF-ASSESSMENTTEST
1 State the dual of voltage.
2 Give the dual equation of V = IZ.
3 Give the dual expression of (CV2)/2.
4 Give the dual of a circuit containing a resistor and a capacitor connected in
parallel.
5 State the dual of Norton's theorem.
6 Give the magnetic field analogue of permittivity.
7 State the conduction field analogue of magnetic flux density.
8 What is the magnetic field analogue of electric current?
9 Give the magnetic circuit equation which is analogous to E = IR.
10 The expression for the capacitance C of a parallel plate capacitor having
plate area A and separation d is C = Acid, where e is the permittivity of
the dielectric material. Use the method of field analogues to write down
the expression for the conductance of the dielectric material.11 'Current cannot change instantaneously in an inductor'. What is the dual
statement in relation to capacitors?
12 Give the mechanical system analogue of electrical inductance.
13 Give the electrical system analogue of the mechanical system equation
P = Bv where P is the force source, B is the viscous resistance, and v is
velocity.
14 When a step voltage is applied to an RL circuit the current as a function of
time is given by i = I[1 - exp (-Rt/L)]. Give the dual equation in respect
of a step voltage being applied to an RC circuit.