\(9~\text{V}\) battery with internal resistance of \(0.5~\Omega\) is connected across an infinite network as shown in the figure. All ammeters \({A}_1,{A}_2,{A}_3\) and voltmeter \({V}\) are ideal.
   
Choose the correct statement.
1. Reading of the voltmeter \({V}\) is \(9~\text{V}\)
2. Reading of the ammeter \({A}_1\) is \(18~\text{A}\)
3. Reading of the ammeter  \({A}_1\) is \(2~\text{A}\)
4. Reading of the voltmeter \({V}\) is \(7~\text{V}\)
Subtopic:  Combination of Resistors |
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In the given circuit all resistances are of value of \(R ~\text{ohm}\) each. The equivalent resistance between \(A \) and \(B\) is:
                     
1. \(\dfrac{5R}{2}\)

2. \(3R\)

3. \(\dfrac{5R}{3}\)

4. \(2R\)
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In the figure shown, what is the current (in Ampere) drawn from the battery? You are given \(R_1=15~ \Omega, R_2=10~ \Omega, R_3=20~ \Omega,R_4=5~ \Omega, R_5=25~ \Omega, R_6=30~ \Omega, E=15~V\)
  

1. \(7/18\)
2. \(20/3\)
3. \(9/32\)
4. \(13/24\)

Subtopic:  Combination of Resistors |
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A wire of resistance \(R\) is bent to form a square \(ABCD\) as shown in the figure. The effective resistance between \(E\) and \(C\) is: (\(E\) is mid-point of arm \(CD\))
                   
1. \( \frac{3}{4} R \)
2. \(\frac{1}{16} R \)
3. \( \frac{7}{64} R \)
4. \(R\)

Subtopic:  Combination of Resistors |
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Space between two concentric conducting spheres of radii \(a\) and \(b\) (\(b>a\)) is filled with a medium of resistivity \(\rho\). The resistance between the two spheres will be: 
1. \( \frac{p}{2 \pi}\left(\frac{1}{a}+\frac{1}{b}\right) \)
2. \(\frac{p}{4 \pi}\left(\frac{1}{a}+\frac{1}{b}\right) \)
3. \(\frac{p}{2 \pi}\left(\frac{1}{a}-\frac{1}{b}\right) \)
4. \(\frac{p}{4 \pi}\left(\frac{1}{a}-\frac{1}{b}\right)\)

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Five equal resistances are connected in a network as shown in the figure. The net resistance between point \(A\) and point \(B\) is:

              

1. \(2R\)
2. \(\dfrac{ R}{2}\)
3. \(\dfrac{3 R}{2}\)
4. \(R\)

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What will be the most suitable combination of three resistors \(A=2~\Omega, B= 4~\Omega, C= 6~\Omega\) so that \(\left({22 \over 3}\right)\Omega\) is the equivalent resistance of combination? 
1. Parallel combination of \(A\) and \(C\) connected in series with \(B\)
2. Parallel combination of \(A\) and \(B\) connected in series with \(C\).
3. Series combination of \(A\) and \(C\) connected in parallel with \(B\)
4. Series combination of \(B\) and \(C\) connected in parallel with \(A\)
Subtopic:  Combination of Resistors |
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The total current supplied to the circuit as shown in the figure by the \(5~\text{V}\) battery is:
     
1. \(4~\text{A}\)
2. \(1~\text{A}\)
3. \(2~\text{A}\)
4. \(3~\text{A}\)
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The equivalent resistance between points \(A\) and \(B\) in the given network is:
        
1. \(65~\Omega\)
2. \(20~\Omega\)
3. \(5~\Omega\)
4. \(2~\Omega\)
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In the given circuit, \(a\) is an arbitrary constant. The value of \(m\) for which the equivalent circuit resistance is minimum will be \(\sqrt{\frac{x}{2}}.\) The value of \(x \) is: 
         
1. \(6\)
2. \(9\)
3. \(3\)
4. \(12\)
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