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23:27 webassign.net I T-Mobile shown in Figure (a) 6.042 R4.0T (A) Find the equi

ID: 1869697 • Letter: 2

Question

23:27 webassign.net I T-Mobile shown in Figure (a) 6.042 R4.0T (A) Find the equivalent resistance between points a and c Conceptualize: Imagine charges flowing into this combination from the left. All charges must pass through the first two resistors, but the charges split into two different 120 paths when encountering the combination of the 6.0 and the 1400 :--w- 3.0 resistors The orignal network of resistors is reduced to a single eqlvalene rusistance Categorize: Because of the simple nature of the combination of resistors in the figure, we categorize this example as one for which we can use the rules for series and parallel combinations of resistors Analyze: The combination of resistors can be reduced in steps as shown in the figure Resta tos.-8.0 + 4.0 -12.012 Find the equivalent resistance between a and b of the R-8.0 and 4.0 resistors, which are in series Find the equivalent resistance between and of the 6.0 and 3.0 resistors, which are in parallel 6.0 Ruptoc) = o.ou = 2.0 The circuit of equivalent resistances now looks like Figure (b). Find the equivalent resistance from a to e: Ret, toe* 12.0 + 2.0 -14 This resistance is that of the single equivalent resistor in Figure (c)

Explanation / Answer

I1 + I2 = 2

And I2 = 2 I1

So 3 I1 = 2

or I1 = 0.67 Ampere

hence answer is 0.67 ampere

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