Consider the circuit shown in the figure below. Use the following variables as necessary R] = 9 00 Q R.= 2 10 SI, and V = 7 00 V Calculate the equivalent resistance of the and 5 00 H resistors connected in parallel ohm Using the result of part (a), calculate the combined resistance of the R1 5.00 ohm, and 4.00 ohm , resistors ohm Calculate the equivalent resistance of the combined resistance found in part (b) and the parallel 3.00 ohm resistor ohm Combine the equivalent resistance found in part (c) with the R2 resistor ohm Calculate the total current in the circuit A What is the voltage drop across the R2 resistor? V Subtracting the result of part (f) from the battery voltage find the voltage across the 3.00 ohm , resistor V Calculate the current in the 3.00 ohm , resistor A
Explanation / Answer
(a) r1=3.21 { 5*9/(5+9)=3.21 }resistor connecting parallel (b) r2=r1+4=7.21 (c) r3=r2*3/(r2+3)=2.12 (d)r4=r3+R2=4.22 (e)total current I=7/r4=1.66 A (f)U2=I*R2=3.48 V (g) U3=I*r3=3.52 V (h) I3=U3/R3=1.17 A