Find the value of R for which no current will flow through 5 V battery.

Question

Find the value of R for which no current will flow through 5 V battery. (A) 4 Ω (B) 1 Ω (C) 3 Ω (D) 5 Ω

Tardigrade Admin · Accepted Answer

If no current flows through 5 V battery, then potential difference across f and e is 5 V. So potential difference across d and c is also 5 V. <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/cb5fb4c1e2443d2a78f1eff6d540a79f-.png" /> i=(10/R+1) i R=5 ⇒ (10/(R+1)) R=5 ⇒ R=1 Ω

Q. Find the value of $R$ for which no current will flow through $5 V$ battery.

$4 Ω$

$1 Ω$

$3 Ω$

$5 Ω$

If no current flows through $5 V$ battery, then potential difference across $f$ and e is $5 V$ . So potential difference across $d$ and $c$ is also $5 V$ .

$i = \frac{10}{R + 1}$
$i R = 5 \Rightarrow \frac{10}{( R + 1 )} R = 5$
$\Rightarrow R = 1 Ω$

Q. Find the value of R for which no current will flow through 5V battery.

4Ω

1Ω

3Ω

5Ω