When the temperature is increased, the collector current in a feedback system decreases. This phenomenon is referred to as temperature-dependent negative feedback. Let's break down the explanation into the following points:

1. Understanding the Feedback System:
In a feedback system, the collector current is controlled by negative feedback. Negative feedback is a mechanism that stabilizes the output of a system by comparing it with the desired input and adjusting the system to minimize the difference between the two. The feedback is achieved by connecting a portion of the output signal back to the input.

2. Temperature Dependency of Collector Current:
In a transistor, the collector current is affected by the temperature of the device. As the temperature increases, the mobility of charge carriers in the device decreases. This results in a decrease in the collector current. Therefore, the collector current is inversely proportional to the temperature of the transistor.

3. Impact of Feedback:
When a feedback is provided in the system, it compares the output signal with the desired input signal and adjusts the system accordingly. In this case, when the temperature increases, the collector current decreases. However, the feedback mechanism tries to maintain the output at the desired level. To achieve this, the feedback system increases the base current of the transistor, compensating for the decrease in collector current caused by the temperature increase. This adjustment is made to counteract the temperature-dependent decrease in collector current and maintain the desired output.

4. Outcome:
As a result of the feedback mechanism, the collector current ultimately decreases when the temperature is increased. This is because the feedback system compensates for the temperature-dependent decrease in collector current by increasing the base current. The overall effect is a decrease in the collector current to maintain the desired output level.

In summary, when the temperature is increased in a feedback system, the collector current decreases due to the temperature dependency of the transistor. The feedback mechanism compensates for this decrease by increasing the base current to maintain the desired output level.