In the circuit given below, R = 9 ?. Find v0 using nodal...

In the circuit given below, R = 9 ?. Find v0 using nodal analysis. 12.5 A v1 2 ? v0 R 1 ? + v0 4 ? 100 V - 50 V The equation at node v1 is: A/1 + B/2 + 12.5 = 0 where A = (Click to select) and B = (Click to select). The equation at node v0 is: C/2 - 12.5 + v0/D + (v0 + 50)/E = 0 where C = (Click to select), D = (Click to select), and E = (Click to select). The value of v0 in the circuit is V.

Transcript

00:01 We are given a circuit that below the resistance r which is equal to 9 ohm and let's find out v0 using the node r analysis so here in this equation let's find out v0 so at node v1 we can write v1 -100 divided by 1 plus 1 we can write v1 -v0 divided by 2 plus we can write 12 .5 which is equal to 0 now we just simplify and we can write v1 -200 plus v1 -v0 which is equal to we can write minus 25 again we just simplify and we can write 3v1 -v0 which is equal to we can write 175 is our correct answer this is our equation number 1 at node v0 at node v0 that is v0 -v1 divided by 2 plus we can write v0 divided by 4 plus we can write v0 plus 50 divided by 9 minus 12 .5 which is equal to 0 multiply by 36, 36 multiplied by we can write v0 -v1 divided by 2 plus v0 divided by 4 plus we can write v0 plus 50 divided by 9 minus 12 .5 and which is equal to 0 again we just simplify and we can write answer is 31 multiplied by v0 minus 18 multiplied by v1 which is equal to answer is 150 equation number 2 here we are solving these two equation and we can write answer is so equation 1 and equation 2 we are solving and we can write answer is v0 which is equal to 52 world in thevenin theorem so i which is equal to 100 divided by 12 and here you can write v which is equal to 9 multiplied by i which is equal we can write 39 multiplied by 100 divided by 12 now we just simplify and we can write answer is so v1 which is equal to answer is 75 now here in the second part of this question or in the second part we can write the value of i which is equal to 50 divided by 12 and here we can write v which is equal to minus 3 multiplied by 50 divided by 12 we just simplify and we can write answer is minus 12 .5 and now here in this case we can write i1 which is equal to 2 divided by 12 multiplied by 12 .5 which is equal to 25 divided by 12 we can write v3 which is equal to i1 multiplied by 9 which is equal to answer is 25 divided by 12 multiplied by 9 which is equal to 18 .75 volt so here we can write the vth which is equal to v1 plus v2 plus v3 which is equal to 75 minus 12 .5 plus we can write 18 .75 now we just simplify here and if we can write answer is 81 .25 volt...

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