id be lost without my calculator!
You don't need a calculator for this question...
It is a basic 3-4-5 right angle triangle..
as are 90%+ of city & guilds questions..
so you can work them quick & get the answer done during the exam!
"a capacitor of capacitive reactance 50, an inductor of 80 inductive reactance and a resistor of 40 are connected in series to a 200 50Hz supply. the impedance of the circuit will be ?"
supply voltage & frequency are red-herrings just to throw you!
C&G are just trying to see if you understand the concept of the
"Impedance Triangle" & the relationship between Resistance / Inductance / Capacitance / Impedance.
e.g.
as Nicky said on post #2
Inductance & capacitance are the vertical lines working in opposition to each other.. 80 - 50 =30
The resistance is the horizontal line 40 (at right angles to vert Ind/Cap value)
so a triangle has two right angled sides 40 & 30...
The diagonal MUST be 50!!!
basic school maths..
Pythagoras theory..
square on the hypotenuse is equal to the square of the sum of the other two sides..
5x5=25
4x4=16
3x3=9
9+16=25
ANY triangle with proportions 3,4,5 will BE a right angle!!!
These proportions are used LOADS of times by city & guilds..
so the calculation part is quick and easy..
All they want to know is if you understand the concept NOT if you can use a calculator!
e.g.
as 3, 4, 5 is a right angle triangle..
so is 6 , 8, 10... {2 times proportions}
or 9 , 12, 15... {3 times proportions}
or 12, 16, 20... {4 times proportions}
or 15 , 20, 25... {5 times proportions}
...
etc..
etc...
and of course... 30, 40, 50 {10 times proportions}
doing the angle bits or leading or lagging may need a calculator..
unless you can also remember that a 3,4,5 triangle has angles of
36.87,
53.13
& 90 degrees!
but that another question.