Determine a real root accurate to four decimal places of the following equation by using (i) Bisection Method (ii) Fixed Point Iteration Method (iii) Method of False Position and (iv) Newton-Raphson.
16-9(x - sin x) = 0; interval [2, 3]
Question 1 With reference to Table 1 below, list quantities of electrical, magnetic and capacitive circuits which are analogous to the given ones. (One mark each) Electric circuits Magnetic Circuits Capacitive Circuits 8.1……………. Magnetic Flux 8.2 …………… 8.3 …………… 8.4 …………… e.m.f Potential difference 8.5 …………… 8.6 …………… 8.7 …………… 8.8 …………… Electric flux density 8.9 …………… 8.10 …………… Permittivity
Question 1 With reference to Table 1 below, list quantities of electrical, magnetic and capacitive circuits which are analogous to the given ones. (One mark each) Electric circuits Magnetic Circuits Capacitive Circuits 8.1……………. Magnetic Flux 8.2 …………… 8.3 …………… 8.4 …………… e.m.f Potential difference 8.5 …………… 8.6 …………… 8.7 …………… 8.8 …………… Electric flux density 8.9 …………… 8.10 …………… Permittivity
Form the partial differential equation by eliminating the arbitrary function f from z=f(x2-y2)
Form the partial differential equation by eliminating the arbitrary function f from z=f(xy)
Form the partial differential equation by eliminating the arbitrary function from z2-xy=f(x/z)
Find the charge q(t) flowing through an element if the current is
i(t) = 3e
−t + 20 cos(15t − π
6
⁄ )uA
q(0) = 1uC
Show that, "Three unbalanced phasors of a 3- system can be resolved into three balanced system of phasors."
Show that the per unit impedance referred to the circuits connected by a transformer is same, if same base MVA is taken for both circuits and base KVs have ratio equal to the transformation ratio.