Free Printable Nodal

1.

Derive the equation for node V1

a)

$30\angle-90\degree=\left(0.5+j0.4\right)V_1-j0.4V_2$

b)

$30\angle90\degree=\left(0.5+j0.4\right)V_1-j0.4V_2$

c)

$30\angle-90\degree=\left(0.5-j0.4\right)V_1-j0.4V_2$

d)

$30\angle-90\degree=\left(0.5+j0.4\right)V_1+j0.4V_2$

2.

which is the correct equation for node V2?

a)

$0=-\left(0.75+j0.4\right)V_1+\left(0.25+j0.15\right)V_2$

b)

$0=-\left(0.75-j0.4\right)V_1+\left(0.25+j0.15\right)V_2$

c)

$0=-\left(0.25+j0.15\right)V_1+\left(0.75+j0.4\right)V_2$

d)

$0=-\left(0.25-j0.15\right)V_1+\left(0.75+j0.4\right)V_2$

3.

Should we used super-node in this circuit?

a)

Yes

b)

No

4.

what is the expression for V_x?

a)

V₁

b)

V₁-V₂

c)

V₂

d)

V₂-V₁

5.

what is the equation for super-node?

a)

$36=\left(1-j2\right)V_1+j4V_2$

b)

$36=j4V_1+\left(1+j2\right)V_2$

c)

$-36=\left(1-j2\right)V_1+j4V_2$

d)

$36=j4V_1+\left(1-j2\right)V_2$

6.

which equation is correct for KVL at super-node?

a)

$V_1=V_2-10\angle45\degree$

b)

$10\angle45\degree=V_2+V_1$

c)

$V_1=V_2+10\angle45\degree$

d)

$V_2=V_1+10\angle45\degree$

7.

what is the equation for super-node?

a)

$15=\left(0.25-j0.25\right)V_1+\left(0.5+j\right)V_2$

b)

$3.75=\left(0.25-j0.25\right)V_1+\left(0.5+j\right)V_2$

c)

$3.75=\left(5+j0.25\right)V_1+\left(0.5+j\right)V_2$

d)

$3.75=\left(0.25+j0.25\right)V_2+\left(0.5+j\right)V_1$

8.

Do we need to use super-node to solve this circuit?

a)

Yes

b)

No

9.

which conversion of time domain to frequency domain is correct?

a)

$\omega=4k\ \frac{rad}{s},\ Z_L=j1k\Omega,\ Z_C=-j125\Omega$

b)

$\omega=4k\ \frac{rad}{s},\ Z_L=-j1k\Omega,\ Z_C=j125\Omega$

c)

$\omega=400\ \frac{rad}{s},\ Z_L=j100\Omega,\ Z_C=-j12.5\Omega$

d)

$\omega=4k\ \frac{rad}{s},\ Z_L=j1k\Omega,\ Z_C=j125\Omega$

10.

derive the equation at the node 1

a)

$i_o=\frac{V_1}{j100}-\frac{\left(V_1-10i_o\right)}{-j125}$

b)

$i_o=\frac{V_1}{jk}+\frac{\left(V_1+10i_o\right)}{j125}$

c)

$i_o=\frac{V_1}{jk}+\frac{\left(V_1-10i_o\right)}{-j125}$

d)

$i_o=\frac{\left(V_1-10i_o\right)}{jk}+\frac{V_1}{-j125}$

Nodal

Total questions: 10

Worksheet time: 5mins

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