Combination of two identical capacitor a resistor R and a DC voltage source of voltage 6V is used in an experiment on a (C-R) circuit. It is found that a parallel combination of the capacitor the time in which the voltage of the fully charged combination reduces to half its original voltage is 10 second. For series combination, the time needed for reducing the voltage of the fully charged series combination by half is

Combination of two identical capacitor a resistor R and a DC voltage s

1.	Combination of two identical capacitor a resistor R and a DC voltage source of voltage 6V is used in an experiment on a (C-R) circuit. It is found that a parallel combination of the capacitor the time in which the voltage of the fully charged combination reduces to half its original voltage is 10 second. For series combination, the time needed for reducing the voltage of the fully charged series combination by half is
Answer» For CR circuit, during charging the voltage across capacitor at instant t is V=V 0 (1−e −t/CR )According to question, 2V 0 =V 0 (1−e −t/CR )or e t/CR =2⇒t=CRln2For parallel grouping , equivalent capacitance , C P =C+C=2Cnow time for half voltage , t P =C P Rln2=2CRln2For series grouping , equivalent capacitance , C S = C+CCC =C/2now time for half voltage , t S =C S Rln2=(C/2)Rln2∴ t P t S = 41 ⇒t S = 41 ×10=2.5s as t P =10ssolutionJanuary 17, 2020avatarTopprSHARESolve related QuestionsInitially the switch is in position 1 for a LONG time. At t=0, the switch is moved from 1 to 2. Obtain expressions for V C and V R for t > 01 Verified AnswerWhat is the value of V 2 (potential difference across R 2 ) at t=0 and t=∞?1 Verified AnswerVIEW MORERevise with ConceptsRC CircuitsEXAMPLEDEFINITIONSFORMULAES20,000+Learning videos8,000+Fun stories10,000+Fundamental concepts8,00,000+Homework QuestionsLearn with VideosDifferential equations of RC circuit while charging - IDifferential equations of RC circuit while charging - I14 minDifferential equations of RC circuit while charging - IIDifferential equations of RC circuit while charging - II7 minVIEW MOREQuick summary with StoriesTime constant2 mins readDifferential Equations of RC circuit while Charging I3 mins readVIEW MOREBROWSE BYClassesBoardsExamsMODULESOnline ClassesMock TestsAdaptive PracticeLive DoubtsStay upto date with our Newsletter!Stay informed, stay AHEAD. Be a topperYour email addressAbout UsBrand ResourcesPressCustomer StoriesJobsEducatorsFellowshipLearning PlanetGuidesBlogBytesNewsTerms of ServicePrivacy PolicyContact UsFAQsGoogle PlayApp Store

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