Home Physics Current Electricity Combination of Resistance The resistance of each resistor in the circu…
Physics Current Electricity Combination of Resistance Subjective Type
Published on: September 12, 2026

The resistance of each resistor in the circuit diagram shown in figure is the same and equal to R = 1 Ω Ω . The voltage across the terminals is U = 7V. Determine the current i (Ampere) the leads if their resistance can be neglected.

Share this question

For Instagram sharing, use “Apps” on mobile or copy the link.

Text Solution

Verified by Experts
The correct answer is:
A
Step 1: Analyze the Circuit
In the circuit, we can see that there are resistors arranged in a parallel configuration between points C and B. Each resistor has a resistance of R = 1 Ω.

Step 2: Calculate Equivalent Resistance of the Resistors
The total number of resistors in parallel between points C and B is 4. The formula for calculating the equivalent resistance (R_eq) of n resistors in parallel is:
$$ \frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} + \frac{1}{R_4} $$
Since all resistors have the same resistance value (R = 1 Ω), we can simplify this to:
$$ \frac{1}{R_{eq}} = n \cdot \frac{1}{R} $$
Therefore, for 4 resistors:
$$ \frac{1}{R_{eq}} = 4 \cdot \frac{1}{1} = 4 $$
So, we have:
$$ R_{eq} = \frac{1}{4} \, \Omega $$

Step 3: Calculate Total Current
Now, we will use Ohm's Law to find the total current (i) supplied by the voltage source (U). Ohm's Law states:
$$ V = I \cdot R $$
Rearranging gives us the formula for current:
$$ I = \frac{V}{R} $$
Considering the voltage across the terminals U = 7 V and the equivalent resistance R_eq = 0.25 Ω, we get:
$$ I = \frac{7 ext{ V}}{0.25 ext{ Ω}} = 28 ext{ A} $$

Step 4: Conclusion
The current flowing through the leads is 28 A.
Therefore, the correct answer is A.

Prepare Smarter with CGP Edu

Get practice questions, solutions, and test series in one place.

Write a Review

Share your experience with this question and solution.

Commentary

Send your comment, doubt, correction, or feedback to admin.

Student Reviews

What students say about this solution

No reviews yet. Be the first to write a review.

Similar Questions

Explore conceptually related problems

CG
CGP Question Assistant Question Bank + AI Help
Hi! Type your question or upload one screenshot. First I will search related questions from CGP Edu Question Bank. If none match, type YES and I will solve it with AI.
Upload only one screenshot at a time. Flow: Question Bank first → If not matched, type YES for AI solution.