Consider three resistors with unequal resistances connected in parallel to a bat
ID: 1646904 • Letter: C
Question
Consider three resistors with unequal resistances connected in parallel to a battery Which of the following statements are true? The equivalent resistance of the combination of resistors is less than the resistance of any one of the three resistors. The current flowing through each of the resistors is the same and is equal to the current supplied by the battery. The algebraic sum of the voltages across the three resistors is equal to the voltage supplied by the battery. The equivalent resistance of the combination of resistors is greater than the resistance of any one of the three resistors. The algebraic sum of the currents flowing through each of the three resistors is equal to the current supplied by the battery. The voltage across each of the resistors is the same and is equal in magnitude to the voltage of the battery.Explanation / Answer
Question: Consider three resistors with unequal resistances connected in parallel to a battery? which of the following statments are true
Statement 1: The equivalent resisitance of the combination of resistors is less than the resistance of any of the three resisitors
>>Yes, for resistances in parallel combination, it is always true. The equivalent resistance will always be less than any of the resistances.
Statement 2: The current flowing through each of the resistors is the same and is equal to the current supplied by the battery.
>> No, the current flowing in parallel circuits will be different for unequal resistances.
Statement 3: The algebraic sum of the voltages across the resistance is equal to the voltage supplied by the batery.
>>No, the voltage across each resistance will be same as the voltage supplied by the battery
i.e. V1=V2 =V3= Vbattery .
Statement 4: The equivalent resisitance of the combination of resistors is greater than the resistance of any of the three resisitors
>>No, the equivalent resistance will always be smaller than any of the three resistors
Statement 5: The algebraic sum of the currents across the resistance is equal to the current supplied by the batery.
>> Yes, total current I= I1+I2+I3 where I1,I2 and I3 denotes current through each of the resistances.
Statement 6: The voltage flowing through each of the resistors is the same and is equal to the voltage supplied by the battery.
>>Yes, Voltages will be same for a parallel combination of resistances
V1=V2=V3= Voltage supplied by battery
hence, Statements 1,5,6 are correct.