Question
Asked Dec 18, 2019
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In the circuit below
(a) If i, = 490 mA, find V,
%3D
(b) If V, = 82 V, find i,
%3D
V,
(c) Calculate the ratio
10 Q
ix
8Q
2013 Paul Hummel
SA
BY
NC
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In the circuit below (a) If i, = 490 mA, find V, %3D (b) If V, = 82 V, find i, %3D V, (c) Calculate the ratio 10 Q ix 8Q 2013 Paul Hummel SA BY NC

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Expert Answer

Step 1

Part (a)

The circuit is solved using Ohm’s law and Kirchhoff's voltage law and Kirchhoff's current law.

First, find each branch current and the potential drop across branches of the circuit.

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22 4, 6n B Jo 8R & lo2 are connectedin paralle - : VBc = 8i, = loix As, %3D i, = Ex410 = 612:5 mA %3D

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Step 2

Now, use Kirchhoff’s current law to find the current in other branches of the circuit.

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Use kCL at node B i, = i, + iz = 612.5+490 = L102.5 m A Again, VaD = VABC (parallel) 4 iy = §6+(8ll0)}i, 4 ty = (6+ 8F10) is Ly = lo.44 %3D S'COTT - = 2878.75 mA = 2.88 A

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Step 3

Now, find the total current drawn by the circuit and use Kirc...

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Use KCL at nodo A - Now, i- i,+ly = L1025+2878.75 = 3981·25mA = 3.99 A Again, Use KVLin loop- V. = 2i+4iy = (2x 4)+(4%a.88) = 19.52 V. %3D

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