HNC, MATHS, draw a vector diagram

HI,I need a help in below:
A resistor, R, is connected in series with an inductor, L. An a.c. current, 𝑖, flows through this RL
combination, causing a voltage (𝑉𝑅) of 30V to be developed across the resistor, and a voltage (𝑉𝐿)
of 40V to be developed across the inductor.
Assuming that 𝑉𝑅 is in-phase with 𝑖, and 𝑉𝐿 leads 𝑉𝑅 by 90𝑜, draw a vector diagram for this
arrangement and then calculate the magnitude of the resultant voltage across the whole RL
combination

Reply 1

username6496451

Hello did you ever get a answer for this? i have bassically the same question.

Jack

Reply 2

ScottyB2H

Original post by jack hare

Hello did you ever get a answer for this? i have bassically the same question.

Jack

You can use the pythagorean theorem to work out Vt. Vt= Square root (a)^2 + (b)^2.
a=VR and b=VL.

To draw the vector diagram. VL on the y axis (as it leads by 90°) and VR and i on the x axis. Draw a 45° line up from zero between the y and x to represent Vt.