(a) Apply Norton's theorem to calculate the current following through 5Ω resistor of the following figure: The circuit for part (a) (all resistances…

(a) Apply Norton's theorem to calculate the current following through 5Ω resistor of the following figure:

The circuit for part (a) (all resistances in Ω):

• A 20 V DC source forms the left vertical branch, between the top-left corner and the bottom rail.
• From the top of the source, a 4 Ω resistor runs along the top to node P.
• A 4 Ω resistor connects node P down to the bottom rail.
• From node P, an 8 Ω resistor runs along the top to node Q.
• A 10 Ω resistor connects node Q down to the bottom rail.
• Node Q continues to terminal A; the 5 Ω resistor connects terminal A down to terminal B.
• Terminal B is on the bottom rail, which is common to the source, the 4 Ω, 10 Ω and 5 Ω branches.

(b) In the circuit of the following figure, applied voltage V is given by (0+j10), and the current is (0.8+j0.6)A. Determine the values of R and X and indicate if X is inductive or capacitive.

The circuit for part (b):

• An AC source V and a resistor R and a reactance X are connected in series in a single loop.
• The current I flows around the loop through R and then X, returning through the source V.