# Determine the equation for $v(t)$

Yes, this is a problem given in class. I'm studying for a test and coudn't find an expression to 𝒗𝟏(𝒕). For me it seems like there is not enough data to do that. Can someone give me a direction?

A power supply V1 is connected to a load ZL by a wire of impedance 6,4 + j4,8 Ω, as shown in the following picture. Knowing that the angular frequency of the supply is 200 rad/s, the voltage on the load is 100 V (rms) and that it absorves 1000 W with a power factor of 0.8, determine:

(a) The voltage expression for the power supply 𝒗𝟏(𝒕);

• Did you try and find the currrent, you know with V = IR or $\frac{V_L}{I_L} = Z_L$ and P = I^2*Z and P = V^2*Z also $PF = \frac{RealPower}{AppPower}$ – Voltage Spike Nov 22 '16 at 0:14