a) The current through the circuit Ve 1 = R+r 10 ] = (5 +1.2) b) The terminal voltage I = 1.6 A V₁ = Ve - Ir V₁ = 10 - (1.6)(1.2) V₁ = 8.1 V Step 1: Calculate the Current Through the Circuit Given: • Electromotive force (emf) of the battery, E = 10 V • Internal resistance of the battery, r = 1.292 . · External resistance (load resistor), R = 50 The total resistance in the circuit is the sum of the internal resistance and the external resistance: Rtotal = r + R = 1.20 + 50 = 51.2 Using Ohm's law, the current I through the circuit is: I = E Rtotal 10 V = 51.2Ω Let's recalculate this: I = 10 51.2 = 0.1953 A Step 2: Calculate the Terminal Voltage The terminal voltage Vterminal of the battery is the voltage across the external resistor. It can be found using the current calculated and the resistance of the external resistor: Vterminal = I× R = 0.1953 A × 50 Let's recalculate this: Vterminal = 0.1953 × 50 = 9.765 V
a) The current through the circuit Ve 1 = R+r 10 ] = (5 +1.2) b) The terminal voltage I = 1.6 A V₁ = Ve - Ir V₁ = 10 - (1.6)(1.2) V₁ = 8.1 V Step 1: Calculate the Current Through the Circuit Given: • Electromotive force (emf) of the battery, E = 10 V • Internal resistance of the battery, r = 1.292 . · External resistance (load resistor), R = 50 The total resistance in the circuit is the sum of the internal resistance and the external resistance: Rtotal = r + R = 1.20 + 50 = 51.2 Using Ohm's law, the current I through the circuit is: I = E Rtotal 10 V = 51.2Ω Let's recalculate this: I = 10 51.2 = 0.1953 A Step 2: Calculate the Terminal Voltage The terminal voltage Vterminal of the battery is the voltage across the external resistor. It can be found using the current calculated and the resistance of the external resistor: Vterminal = I× R = 0.1953 A × 50 Let's recalculate this: Vterminal = 0.1953 × 50 = 9.765 V
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A battery of emf 10V and internal resistance 1.20 is connected across a 50 resistor. Calculate the following:
- The current through the circuit
- The terminal voltage
I am getting 2 sets of answers, please let me know which set is correct
![a) The current through the circuit
Ve
1 =
R+r
10
] =
(5 +1.2)
b) The terminal voltage
I = 1.6 A
V₁ = Ve - Ir
V₁ = 10 - (1.6)(1.2)
V₁ = 8.1 V
Step 1: Calculate the Current
Through the Circuit
Given:
• Electromotive force (emf) of the battery,
E = 10 V
• Internal resistance of the battery, r = 1.292
.
·
External resistance (load resistor), R = 50
The total resistance in the circuit is the sum
of the internal resistance and the external
resistance:
Rtotal = r + R = 1.20 + 50 = 51.2
Using Ohm's law, the current I through the
circuit is:
I
=
E
Rtotal
10 V
=
51.2Ω
Let's recalculate this:
I
=
10
51.2
= 0.1953 A](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1fddb167-064d-40fd-acab-4206a905778c%2F3f1db817-f8da-41a6-8da8-b16223c0dc70%2F1ta4yru_processed.jpeg&w=3840&q=75)
Transcribed Image Text:a) The current through the circuit
Ve
1 =
R+r
10
] =
(5 +1.2)
b) The terminal voltage
I = 1.6 A
V₁ = Ve - Ir
V₁ = 10 - (1.6)(1.2)
V₁ = 8.1 V
Step 1: Calculate the Current
Through the Circuit
Given:
• Electromotive force (emf) of the battery,
E = 10 V
• Internal resistance of the battery, r = 1.292
.
·
External resistance (load resistor), R = 50
The total resistance in the circuit is the sum
of the internal resistance and the external
resistance:
Rtotal = r + R = 1.20 + 50 = 51.2
Using Ohm's law, the current I through the
circuit is:
I
=
E
Rtotal
10 V
=
51.2Ω
Let's recalculate this:
I
=
10
51.2
= 0.1953 A
Transcribed Image Text:Step 2: Calculate the Terminal
Voltage
The terminal voltage Vterminal of the battery is
the voltage across the external resistor. It
can be found using the current calculated
and the resistance of the external resistor:
Vterminal = I× R = 0.1953 A × 50
Let's recalculate this:
Vterminal = 0.1953 × 50 = 9.765 V
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