Resistance And Resistivity

Each part of the wire has resistance .

The first 5 parts connected in series:
.
The next 5 parts connected in parallel:
.

Total resistance:
.

To find the terminal voltage of the battery, we need to consider the internal resistance of the battery and the external resistance in the circuit. The formula for terminal voltage, V_t, is given by:

V_t = ε - I * r

where:

• ε is the electromotive force (emf) of the battery (in volts),
• I is the current flowing through the circuit (in amperes),
• r is the internal resistance of the battery (in ohms).

Given:

• ε = 10 V
• r = 1 Ω
• External resistance R = 4 Ω

First, calculate the current, I, using Ohm's Law:

I = ε / (R + r)

Substitute the values:

I = 10 / (4 + 1)

I = 10 / 5

I = 2 A

Now, calculate the terminal voltage:

V_t = ε - I * r

V_t = 10 - 2 * 1

V_t = 10 - 2

V_t = 8 V

Thus, the terminal voltage of the battery is 8 V.