Question

Show that ( V_{o} ) in the circuit is ( 2 mathrm{~V} ).

          Show that ( V_{o} ) in the circuit is ( 2 mathrm{~V} ).
        
Show that ( Vo ) in the circuit is ( 2 mathrm V ).

Added by Ahmed A.

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University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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Transcript

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00:02 Hello guys in this problem we cover the concept of kitchaf's law.
00:07 Now consider the current drawn from the source is i okay and in this branch the current flown is i1 and in this branch the current flown is i2.
00:24 Now from kitchf's loop law we can write i equals i1 plus i2 let's say this has equation 1.
00:34 Now if we take this as loop 1 and this as loop, sorry, and this whole as loop 2, then for loop 1, we can write 12 minus 20 times i, or 20 times i1 plus i2 minus 30 times i1 equals 0.
01:14 Or from this we can write 50 i1 plus 20 i2 equals 12 foot let's say this as equation 1 now for loop 2 we can write 12 minus 20 times i 1 plus i 2 minus 40 i 2 minus 20 i 2 equals 0 or from this we can write 20 i1 plus 80 i2 equals 12 let's say this has equation 2 now let's multiply equation 1 with 4 okay so multiply equation 1 with 4 then we get 200 i 1 plus 80 i 2 equals 48 volts let's say this as equation 3...
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