A) If resistor R1 is 75 ohms and R2 is 200 ohms, what is the parallel resistance

Question

A) If resistor R1 is 75 ohms and R2 is 200 ohms, what is the parallel resistance?

B) If the power supply is set at 6 volts, what are the voltage and current measured by the sensors in the parallel resistance set-up of Figure 9 and Figure 10?

C) What is the voltage across R2 (as shown in Figure 11 and Figure 12?)

D) What is the voltage across R1?

E) What is the current into R1 (as measured by current sensor 1 in Figure 11 and Figure 12)?

F) What is the current into R2?

G) What is the sum of the currents?

Current Sensor (1) Power Voltage Sensor (2) Figure 9. Sketch of the set-up for measuring the parallel resistors. Note the two cables (green in the sketch) between the two resistors.

Explanation / Answer

Q(A).

let parallel equivalent resistance is R,

then 1/R=(1/75)+(1/200)=0.01833

==>R=1/0.01833=54.5454 ohms

Q(B)current in the circuit=volage supplied/total resistance

=6/54.5454=0.11 A

hence the current sensor will read 0.11 A.

as both R1 and R2 are connected in parallel,

voltage across them will be same as the potential provided

hence voltage sensor will read 6 volts

Q(C).

as both R1 and R2 are connected in parallel,

voltage across them will be same as the potential provided

hence voltage sensor will read 6 volts

Q(D).

as both R1 and R2 are connected in parallel,

voltage across them will be same as the potential provided

hence voltage across R1 will be 6 volts

Q(E).

current through R1=voltage across R1/resistance value of R1

=6/75=0.08 A

F) current through R2=voltage across R2/resistance value of R2=6/200=0.03 A

G)sum of currents=0.08+0.03=0.11 A

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