Question

A 100 and a 50 ohm resistor are wired to a 12 V battery as shown in the diagram below. From the list of statements listed below please select the correct statements.

• A. These resistors are wired in parallel.
• B. These resistors are wired in series.
• C. The potential difference across these resistors is the same.
• D. The potential difference across the 100 resistor is higher.
• E. The electrical current passing through the 50 resistor is half the current through the 100 resistor.

Answer 1

Answer: (A), (C)

The correct options are
A These resistors are wired in parallel.
C The potential difference across these resistors is the same.

The resistors are wired in parallel as their initial and final points are attatched to each other , bieng in parallel the potential difference across both resistors is same .

Now equivalent resistance in circuit ,

$R=\frac{50\times 100}{50+100}=\frac{5000}{150}=33.3\Omega$

therefore total current ,

$I=E/R=12/33.3=0.36A$

current in the $50\Omega$ resistor ,

$I_1=E/50=12/50=0.24A$

current in the $100\Omega$ resistor ,

$I_1=E/100=12/100=0.12A$ ,

it is clear that current in 50 resistor is double the current through the 100 resistor .