(a) Calculate the equivalent resistance of the R 1 and 5.00 resistors connected

Question

(a) Calculate the equivalent resistance of theR1 and 5.00 resistors connected inparallel.
1

(b) Using the result of part (a), calculate the combined resistanceof the R1, 5.00 , and 4.00 resistors.
2

(c) Calculate the equivalent resistance of the combined resistancefound in part (b) and the parallel 3.00 resistor.
3

(d) Combine the equivalent resistance found in part (c) with theR2 resistor.
4

(e) Calculate the total current in the circuit.
5 A

(f) What is the voltage drop across the R2resistor?
6 V

(g) Subtracting the result of part (f) from the battery voltage,find the voltage across the 3.00 resistor.
7 V

(h) Calculate the current in the 3.00 resistor.
8 A

Explanation / Answer

WOW!   That's a lot... I may have to split this oneup into a couple sections: . (a)   R1 is 9.00 ohms.  In parallel with the 5.00 resistor, the total is given by: .    total resistance = 9.00 * 5.00 / (9.00 + 5.00) =    3.214 ohms . (b) This is in series with the 4.00 so now .    total resistance = 3.214 + 4.00  =   7.214 . (c)   in parallel with the 3.00... .    total resistance = 3.00 * 7.214 /(3.00 + 7.214) =     2.119ohms . (d) in series with R2, which is   1.90 .    total resistance = 2.119 + 1.90   =     4.019 ohms

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