Question
Find the value of current I in the circuit given below:
✓
Answer
$R_{A C}$ abd $R_{E D}$ are in parellel, so $\frac{1}{ R _{ p }^{\prime}}=\frac{1}{ R _{ AC }}+\frac{1}{ R _{ ED }}=\frac{1}{30}+\frac{1}{30}=\frac{1}{15}$ $\Rightarrow R _{ p }^{\prime}=15 \Omega$
Now $R _{ p }^{\prime}$ and $R _{ BC }$ are in series, so $R _{ s }= R _{ p }+ R _{ BC }=15+15=30 \Omega$
Again, $R _{ AB }$ and $R _{ p }^{\prime}$ are in parallel, so $\frac{1}{ R ^{\prime \prime}}=\frac{1}{ R _{ AB }}+\frac{1}{ R _{ s }^{\prime}}$
$=\frac{1}{15}+\frac{1}{30}=\frac{1}{10}$
$\therefore R^{\prime \prime}{ }_{p}=10 \Omega$
So, current flowing through the circuit is $I =\frac{ V }{ R " p }=\frac{3}{10}=0.3 A$
Now $R _{ p }^{\prime}$ and $R _{ BC }$ are in series, so $R _{ s }= R _{ p }+ R _{ BC }=15+15=30 \Omega$
Again, $R _{ AB }$ and $R _{ p }^{\prime}$ are in parallel, so $\frac{1}{ R ^{\prime \prime}}=\frac{1}{ R _{ AB }}+\frac{1}{ R _{ s }^{\prime}}$
$=\frac{1}{15}+\frac{1}{30}=\frac{1}{10}$
$\therefore R^{\prime \prime}{ }_{p}=10 \Omega$
So, current flowing through the circuit is $I =\frac{ V }{ R " p }=\frac{3}{10}=0.3 A$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Identify A, B and C in the given diagram and write one function of each.
Draw the electron-dot structure for ethyne. A mixture of ethyne and oxygen is burnt for welding. In your opinion, why cannot we use a mixture of ethyne and air for this purpose?
How are the modes for reproduction different in unicellular and multicellular organisms?
Name the type of mirror used:
- By dentists.
- In solar furnaces. Give two reasons why such mirrors are used in each case.
What is meant by a primary consumer, secondary consumer and a tertiary consumer? Give one example of each.
On the basis of the possibilities of combination of the sex chromosomes, what percentage probability does a couple have of having a son or a daughter? Show the same by making a cross.
State the factors on which the strength of an electromagnet depends. How does it depend on these factors?
Explain the following
$a.$ Reactivity of Al decreases if it is dipped in $HNO_3$
$b.$ Carbon cannot reduce the oxides of Na or Mg
$c.$ NaCl is not a conductor of electricity in solid state whereas it does conduct electricity in aqueous solution as well as in molten state
$d.$ Iron articles are galvanised.
$e.$ Metals like $\text{Na ,K, Ca}$ and $\text{Mg}$ are never found in their free state in nature.
→$a.$ Reactivity of Al decreases if it is dipped in $HNO_3$
$b.$ Carbon cannot reduce the oxides of Na or Mg
$c.$ NaCl is not a conductor of electricity in solid state whereas it does conduct electricity in aqueous solution as well as in molten state
$d.$ Iron articles are galvanised.
$e.$ Metals like $\text{Na ,K, Ca}$ and $\text{Mg}$ are never found in their free state in nature.
An aldehyde as well as a ketone can be represented by the same molecular formula, say $C _3 H _6 O$. Write their structure and name them. State the relation between the two in the language of science.
→In the circuit diagram given below, the current flowing across 5 ohm resistor is 1 amp. Find the current flowing through the other two resistors.