+0

# Tma question

0
279
2

In a circuit, consisting of a 1kΩ resistor connected in series with 50 mH coil, a 10V rms, 10 kHz signal is applied. Find the impedance Z

Guest May 30, 2017
#1
0

For a series circuit, the impedance equals the resistance plus the reactive inductance.

$$\text {Inductive Reactance (ohms)} = 2\Pi FL \Tiny \text { Where F is frequency in Hertz (Hz) & L is inductance in (Henrys)}\\ 2\Pi (10 kHz) \times (50mH) = 3.142k \varOmega \\ {3142 \varOmega + 1000\varOmega = 4142 \; \varOmega \; or \; 4.142K\varOmega }$$

Guest May 30, 2017
#2
+520
0

You started off correctly, Guest, but series impedances don't add algebraically, they add according to Pythagoras.

So impedance Z = [(X)² + R² ]½