5 ओम प्रतिरोध तार को 5 बराबर टुकड़ों में काटने पर प्रत्येक टुकड़े का प्रतिरोध क्या होगा? - 5 om pratirodh taar ko 5 baraabar tukadon mein kaatane par pratyek tukade ka pratirodh kya hoga?

Solution : (a) Consider a pieces of wire having resistance R. It cut into 5 equal parts So number of equal resistros are 5. <br> `n=5` <br> When .n. resistors of equal resistance R are connected in series, the equivalent resistance is .nR. <br> `:.R_(s)=nR` <br> `R_(s)=5R` <br> `R=(R_(s))/(5)rArr R=0.2R_(s)` <br> Each part of resistance .R. is equal to 0.2 times of original resistance. <br> (b) Effective Resistance of 5 Resistors `(1)/(R_(p))=1/R+1/R+1/R+1/R+1/R` <br> `=5/R` <br> `R_(p)=R/5=0.2R` <br> `R_(p)=0.2R` <br> (c ) Effective resistance of series combination `R_(S)=5R` <br> Effective resistance of parallel combination `R_(P)=(R)/(5)` <br> The ratoi series connection to the parallel connection `(R_(S))/(R_(P))=(5R)/((R//5))` <br> `(2)(9-R_(2)+R_(2))=(9-R_(2))R_(2)` <br> `(R_(S))/(R_(P))=5Rxx(5)/(R)` <br> `=25` <br> `R_(S):R_(P)=25:1`