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Use the two node equations to solve for the values of the two unknown node volta

ID: 3162716 • Letter: U

Question

Use the two node equations to solve for the values of the two unknown node voltages, v1 and v2. and the current ib and ia

please dont forget to find the current ib and ia

Part 3: Solve the set of linear equations Incorrect, rewrite the equations in matrix form reducing to a single coefficient in front of each variable like 23 3 1 150 -4 19 l 50 (Your numbers will be different Use the two node equations to solve for the values of the two unknown node voltages, V1 and V2. 3 km 1 k2 5 km 3 V 6 k2 V1 V2 4.12. Click if you would like to show Work for this question Open Show Work LINK TO TEXT Attempts: Unlimited SAVE FOR LATER. SUBMIT ANSWER Part 4: Find the branch currents using Ohm's law Now that you have found all the node voltage the branch current ib and ia can be determined. Because ib is a branch current through a resistor, it can be found by apply ohm's law as shown below. 3 km 1 ks2 3 V al 1 k2 6 ko. mA

Explanation / Answer

writing node equations at v1,

v1/1 + [v1-3]/1 + [v1-v2]/5 = 0

2.2v1 -0.2v2 - 3= 0

writing node equations at v2,

v2/6 + [v2-3]/3 + [v2-v1]/5 = 0

0.7v2 -0.2v1 -1 =0

solving the two equations,

v1 = 1.533V

v2 = 1.867V

ib = [-1.867+1.533]/5 = -0.0668 mA

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