Use the results from Table 4-1 to calculate thecurrent through each resistor in

Question

Use the results from Table 4-1 to calculate thecurrent through each resistor in Figure 4-2, as well as the correct direction of each current.

The following preparation work may be completed as described belo instructor will describe which method you are expected to use. wi ico hetu ng cic n 1. Apply mesh analysis to the circuit of Figure 4-2. Solve for the three indicated currents a directions. Record your calculated values in Table 4-1. Table 4-1. Calculated Mesh Values Current I Current 2 Current 3 Assumed Direction clockwise clockwise clockwise MA Mesh Current Solution o.2933 mA -0.5583 mn True Current Direction! (2-0 | - 2. Use the results from Table 4-1 to calculate the current through each resistor in Figure4 direction of each current. Transfer values from Tables 4-1 and 4-2 to the Prep Sheet. Table 4-2 Calculatod Resi.

Explanation / Answer

given three loops in the circuit
let loop 1 have current i1, loop 2 i2, loop3 i3 in the directions given
kirchoff's voltage law
10 = 12000*i1 + 15000(i1 - i2)
15000(i2 - i1) + 10000*i2 + 18000(i2 - i3) = 0
18000(i3 - i2) + 22000*i3 + 20 = 0

so the equations become
27000*i1 - 15000*i2 = 10
-15000i1 + 43000*i2 - 18,000i3 = 0
-18,000*i2 + 40,000*i3 = -20

so solving this
i1 = 2.983*10^-4 A
i2 = -1.2965*10^-4 A
i3 = -5.5834*10^-4 A

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