A simple circuit consists of a resistor connected to a battery. For each circuit
ID: 2024076 • Letter: A
Question
A simple circuit consists of a resistor connected to a battery. For each circuit, The battery has emf , internal resistance, and terminal voltage V, and the resistor has resistance as shown below..Rank the following circuits in order of current, from highest to lowest values.
Circuit 1)
EMF = 1.4 V
Internal Resistance = .2 ohms
Terminal Voltage = UNKNOWN
Resistor Resistance = 1.9 ohms
Circuit 2)
EMF = 1.4 V
Internal Resistance = .1 ohms
Terminal Voltage = 1.2 V
Resistor Resistance = UNKNOWN
Circuit 3)
EMF = 1.4 V
Internal Resistance = .1 ohms
Terminal Voltage = UNKNOWN
Resistor Resistance = 2 ohms
Circuit 4)
EMF = 1.4 V
Internal Resistance = UNKNOWN
Terminal Voltage = 1.2 V
Resistor Resistance = 2 ohms
Circuit 5)
EMF = Unknown
Internal Resistance = .1 ohms
Terminal Voltage = 1.4 V
Resistor Resistance = 2 ohms
Explanation / Answer
The relation between emf and current is I = / R + r .........( 1) The relation between current and terminal voltage is V = - I r .......... (2) Here I = current V is terminal voltage is emf R is resistance r is internal resitance For circuit 1 From equation (1) current passing through the circuit is I = emf / R + r = 1.4 V / 1.9 + 0.2 = 0.667 A for circuit 2 is From equation (2) current passing through the circuit is I = - V / r = 1.4 - 1.2 / 0.1 = 2 A for circuit 3 current passing through the circuit is I = 1.4 / 2+0.1 = 0.667 A for circuit 4 I = / R = 1.4 / 2 = 0.7 A for circuit 5 I = 1.4 V / 2 = 0.7 A rancking in the order of current in the following circuits is 2 > 4 = 5 >1= 3Related Questions
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