The opposition to current in an electrical circuit is called its impedance. the impedance z in a parallel circuit with two pathways satisfies the equation: 1/z + 1/z1 + 1/z2 where z1 is the impedance (in ohms) of pathway 1 and z2 is the impedance of pathway 2.
a) the impedance of each pathway in a parallel circuit is found by adding the impedances of all components in the pathway. use the table to find z1 and z2.
b) find the impedance z.
(diagram drawn)

a 1/z1 = 1/bi

 1/z2 = -1/ci

b impedance z = 1/z = [(1/a)² + (-1/ci -1/bi)²]^1/2

Step-by-step explanation:

circuit in parallel

a for the resistor impedance  = 1/z = 1/ a

for the inductor inductance   = 1/ bi = 1/xL

for the capacitor capacitance  = - 1/ci = 1/xc

the reactances  is the INDUCTANCE AND CAPACITANCE

The impedance = 1/z = [ (-1/ci -1/bi)²]^1/2

Since the circuit is parallel impedance z across the pathway is given by

b impedance z = 1/z = [(1/a)² + (-1/ci -1/bi)²]^1/2

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.