Video Lecture

Theory For Making Notes

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Practice Questions (Basic Level)

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Practice Questions (JEE Main Level)

Q.1

Calculate net resistance between A and B :  

(a)    \displaystyle \frac{{4r}}{5} 

(b)    \displaystyle \frac{{3r}}{5} 

(c)    \displaystyle \frac{{4r}}{3} 

(d)    None

Ans.  (a)

Q.2 

Calculate net resistance between A and B :

(a)     1 \displaystyle \Omega     

(b)     2 \displaystyle \Omega

(c)     3 \displaystyle \Omega

(d)     None

Ans.  (c)

Q.3

Calculate net resistance between A and B :     

(a)    \displaystyle \frac{{7r}}{3} 

(b)    \displaystyle \frac{{5r}}{6} 

(c)    \displaystyle \frac{{7r}}{2} 

(d)    \displaystyle \frac{{7r}}{6}

Ans.  (d)

Q.4

A five-point regular star has been formed from a uniform wire. Calculate the equivalent resistance between points P and Q.  Take sin =1/3 resistance of sections \displaystyle PQ\,=\,QR\,=\,RS\,=\,ST\,=\,TU\,=\,UV\,=\,VW\,=\,WX\,=\,XY\,=\,r         

(a)    r  

(b)    2r/3                      

(c)    3r/5                      

(d)    2r

Ans.  (c)

Q.5

Twelve wires of equal resistance R are connected to form a cube. The effective resistance between the diagonal ends of the figure will be :         

(a) (5/6)R               

(b) (6/5) R              

(c) 3R

(d) 12R

Ans.  (a)

Q.6

Net resistance between A and B in the given network is :  

(a) \displaystyle \frac{{5R}}{7}                       

(b) \displaystyle \frac{{7R}}{6}                       

(c) \displaystyle \frac{{4R}}{5}                       

(d) \displaystyle \frac{{5R}}{4}

Ans.  (d)

Q.7

Net resistance between A and B in the given network is :  

(a) \displaystyle \frac{{5R}}{7}                       

(b) \displaystyle \frac{{7R}}{6}                       

(c) \displaystyle \frac{{3R}}{2}                       

(d) \displaystyle \frac{{5R}}{4}

Ans.  (c)

Q.8

The current I drawn from the 5 volt source will be :    

(a)  0.17 A                   

(b) 0.33 A             

(c) 0.5 A                 

(d) 0.67 A

Ans..  (c)

Q.9

The given figure shows an infinite ladder network of resistances. The equivalent resistance between points A and B is :         

(a) Infinite              

(b) 3.73 \displaystyle \Omega                      

(c) 2.73 \displaystyle \Omega                      

(d) 2/3 \displaystyle \Omega

Ans.  (c)

Q.10

Find RAB, each individual resistance being R.

(a)      4R/5                   

(b)      7R/4            

(c)      3R/2           

(d)      5R/2

Ans.  (a)

Q.11

Find RAB, each individual resistance being R.

(a)     R/5

(b)     R/4                     

(c)     R/2            

(d)     5R/2

Ans.  (b)

Practice Questions (JEE Advance Level)

Q.1  

Find the net resistance in each of  the following  symmetrical circuits

(Each edge of the cubes given in (b), (c),(d) and (e) has a resistance `r’ )

Q.2

A finite square grid each link having resistance r is fitted in a resistanceless conducting circular wire. Determine equivalent resistance between A and B.

Ans :  (21r)/40

Q.3

In the diagram shown, all the wires have resistance R. The equivalent resistance between  the upper and lower dots shown in the diagram is

(a)   R/8                                 

(b)   R

(c)   2R/5                               

(d)   3R/8

Ans.   (d)

Q.4

In the infinite square grid resistance of each link is r. Determine the equivalent resistance between two junctions A and B. The link between A and B is missing.

Ans.    x = r