A set of `'n'` equal resistor, of value of `'R'` each are connected in series to a battery of emf `'E'` and internal resistance `'R'`. The current drawn is `I`. Now, the `'n'` resistors are connected in parallel to the same battery. Then the current drawn from battery becomes 10.1. The value of `'n'` is
Text Solution
Verified by Experts
When `n` resistors are in series, then current in the circuit, `I =epsilon/(R+nR) = epsilon/((n+1)R)` …(i) When `n` resistors are in parallel, then effective resistance is `R_("eff")=R//n`. current in circuit, `I' = epsilon/(R+R//n) = (n epsilon)/(R(n+1))` As per question, `I' = 10 I :. (n epsilon)/(R(n+1)) = (10 epsilon)/((n+1)R) or n=10`
Topper's Solved these Questions
CURRENT ELECTRICITY
PRADEEP|Exercise Conceptual Problems|3 Videos
CURRENT ELECTRICITY
PRADEEP|Exercise Very short Q/A|7 Videos
COMMUNICATION SYSTEMS
PRADEEP|Exercise MODEL TEST PAPER-2|9 Videos
DUAL NATURE OF RADIATION AND MATTER
PRADEEP|Exercise Exercise|191 Videos
Similar Questions
Explore conceptually related problems
First a set of n equal resistors of R each are connected in series to a battery of emf E and internal resistance R. A current I is observed to flow. Then, the n resistors are connected in parallel to the same battery. It is observed that the current is increased 10 times. What is 'n'?
First , a set of n equal resistors of 10Omega each are connected in series to a battery of emf 20V and internal resistance 10Omega . A current I is observed to flow. Then , the n resistors are connected in parallel to the same battery. It is observed that the current is increased 20 times, then the value of n is ____________.
A series combination of L and R is connected to a battery of emf E having negligible internal resistance. The final value of current depeds upon
A resistor is connected to a battery of emf 10 V and internal resistance 0.3 Omega . What is the resistance of the resistor to be inserted in the circuit for the circuit current 1.2A?
A battery of electro motive force E is connected in series with a resistance R and a voltmeter. An ammeter is connected in parallel with the battery.
A resistor R is conneted to a parallel combination of two identical batteries each with emf E and an internal resistance r. The potential drop across the resistance R is.
A series combination of two resistors 1 Omega each is connected to a 12 V battery of internal resistance 0.4 Omega . The current flowing through it will be
First n resistor R = 10ohm are ceonnected in series and this n resistor are connected to battery of V = 20V, R_i = 10 Omega . When this n resistor are conected to parallel to same battery then current increases 20times. Find n
PRADEEP-CURRENT ELECTRICITY-Problems for Practice (B)