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Reika [66]
3 years ago
14

In the circuit below I 1=20mA V1=10 R1=400 R2=2000 R3=1000. Use node analysis to find R2

Engineering
1 answer:
Hatshy [7]3 years ago
6 0

Answer:0.2A

Explanation:

First, write KCL

i1-i2-i3=0

Then, replace currents with viltages and resistors.

V2-10v/100-v2/200-v2/400=0

V2-40=0

V2=40v

I hope it was helpful

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Parallelogram law of vector addition states that if two vectors are considered to be the adjacent sides of a parallelogram, then the resultant of the two vectors is given by the vector that is diagonal passing through the point of contact of two vectors.

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Given the vectors M = −10 ax + 4 ay − 8 az and N = 8 ax + 7ay − 2 az, find:
alexgriva [62]

Answer:

a) \vec u_{R} = 0.924\cdot i + 0.355\cdot j + 0.142\cdot k, b) ||\vec R|| \approx 32.218, c) \vec R = -580.483\cdot i + 3192.659\cdot j -2902.417\cdot k

Explanation:

a) The resultant vector is obtained by summing all components:

\vec R = 10\cdot i-4\cdot j + 8\cdot k+16\cdot i + 14\cdot j -4\cdot k

\vec R = 26\cdot i + 10\cdot j + 4\cdot k

Its magnitude is determined herein:

||\vec R|| = \sqrt{26^{2}+10^{2}+4^{2}}

||\vec R|| \approx 28.142

Unit vector in the given direction is:

\vec u_{R} = \frac{26}{28.142}\cdot i + \frac{10}{28.142}\cdot j + \frac{4}{28.142}\cdot k

\vec u_{R} = 0.924\cdot i + 0.355\cdot j + 0.142\cdot k

b) The resultant vector is obtained by summing all components:

\vec R = 5\cdot i + 8\cdot i + 7\cdot j - 2\cdot k+10\cdot i -12\cdot j +24\cdot k

\vec R = 23\cdot i - 5\cdot j + 22\cdot k

Its magnitude is determined herein:

||\vec R|| = \sqrt{23^{2}+(-5)^{2}+22^{2}}

||\vec R|| \approx 32.218

c) Magnitudes of \vec M and \vec N are, respectively:

||\vec M|| = \sqrt{(-10)^{2}+4^{2}+(-8)^{2}}

||\vec M|| \approx 13.416

||\vec N|| = \sqrt{8^{2}+7^{2}+(-2)^{2}}

||\vec N|| \approx 10.817

The sum of both vectors is:

\vec Q = \vec M + \vec N = -2\cdot i +11\cdot j -10\cdot k

Finally, the resultant is:

\vec R = 2||\vec M||\cdot ||\vec N|| \cdot \vec Q

\vec R = -580.483\cdot i + 3192.659\cdot j -2902.417\cdot k

5 0
3 years ago
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