Question

5. A voltage of $22x\angle x^{\circ}$ V ($x$ is the last digit of your student number, i.e., if your number is 12345678, the voltage is $228\angle 8^{\circ}$ V) is applied to the end of the circuit (between a and b) given below. Engineering Mathematics Midterm Exam - Page 2 of 2 17/4/2023 $j10\Omega$ $5\Omega$ a o $-j5\Omega$ $j5\Omega$ $5\Omega$ bo (a) (5 points) Find the equivalent impedance of the circuit (between a and b). (b) (5 points) Calculate the current of the circuit (i.e., the current leaving from the point a). (c) (10 points) Calculate the apparent power, active power and reactive power values. (d) (5 points) Find instantenous values of the voltage and current.

          5. A voltage of $22x\angle x^{\circ}$ V ($x$ is the last digit of your student number, i.e., if your number
is 12345678, the voltage is $228\angle 8^{\circ}$ V) is applied to the end of the circuit (between a and
b) given below.
Engineering Mathematics
Midterm Exam - Page 2 of 2
17/4/2023
$j10\Omega$
$5\Omega$
a o
$-j5\Omega$
$j5\Omega$
$5\Omega$
bo
(a) (5 points) Find the equivalent impedance of the circuit (between a and b).
(b) (5 points) Calculate the current of the circuit (i.e., the current leaving from the
point a).
(c) (10 points) Calculate the apparent power, active power and reactive power values.
(d) (5 points) Find instantenous values of the voltage and current.

5. A voltage of 22x∠ x^∘ V (x is the last digit of your student number, i.e., if your number
is 12345678, the voltage is 228∠ 8^∘ V) is applied to the end of the circuit (between a and
b) given below.
Engineering Mathematics
Midterm Exam - Page 2 of 2
17/4/2023
j10Ω
5Ω
a o
-j5Ω
j5Ω
5Ω
bo
(a) (5 points) Find the equivalent impedance of the circuit (between a and b).
(b) (5 points) Calculate the current of the circuit (i.e., the current leaving from the
point a).
(c) (10 points) Calculate the apparent power, active power and reactive power values.
(d) (5 points) Find instantenous values of the voltage and current.

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