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To solve the given problem, let's analyze the circuit and determine the value of the electromotive force (EMF), \(\varepsilon\).

### Given:
- There are two batteries in the circuit: one with 15 V and the other with \(\varepsilon\).
- Three resistors are present: \(5 \Omega\), \(5 \Omega\), and \(2 \Omega\).
- The ammeter shows a current of 2 A.

### Analysis:

1. **Determine the total resistance in the circuit:**
   - The two \(5 \Omega\) resistors are in series, so their combined resistance is:
     \[
     R_{\text{series}} = 5 + 5 = 10 \Omega
     \]
   - The \(2 \Omega\) resistor is also in series with the combined \(10 \Omega\) resistance.
   - Therefore, the total resistance \(R_{\text{total}}\) in the circuit is:
     \[
     R_{\text{total}} = 10 \Omega + 2 \Omega = 12 \Omega
     \]

2. **Calculate the net voltage in the circuit:**
   - Let’s assume that the current flows from the 15 V battery. Since the ammeter reads 2 A, we can use Ohm’s law:
     \[
     I = \frac{V_{\text{net}}}{R_{\text{total}}}
     \]
   - Substituting the values:
     \[
     2 = \frac{15 - \varepsilon}{12}
     \]
   - Solving for \(\varepsilon\):
     \[
     15 - \varepsilon = 2 \times 12
     \]
     \[
     15 - \varepsilon = 24
     \]
     \[
     \varepsilon = 15 - 24 = -9 \text{ V}
     \]
   - The negative sign indicates that the polarity of \(\varepsilon\) is opposite to what was initially assumed.

### Conclusion:
The value of the electromotive force, \(\varepsilon\), is \(-9\) V.

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Do you want further details or have any questions about this solution? Here are some related problems to consider:

1. How would the current change if the resistance of the \(2 \Omega\) resistor were increased?
2. What is the power consumed by each resistor in the circuit?
3. How would the circuit behavior change if the \(15\) V battery were removed?
4. What is the total power supplied by the batteries in the circuit?
5. How would the current change if the \( \varepsilon \) were positive 9 V instead of negative?

**Tip:** Always double-check your assumptions about the direction of current when dealing with circuits containing multiple sources of voltage.

Jika amperemeter ideal pada rangkaian listrik gambar di atas menunjukkan angka 2 A, tentukan nilai GGL ε.

In this physics problem, determine the electromotive force (EMF) ε in a series circuit containing two voltage sources, resistors, and an ammeter reading 2 A. Using Ohm's Law and Kirchhoff's Voltage Law, this problem demonstrates how to find unknown voltage in high school physics.

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