Lighting circuits (UK) are fused at 15A. If in doubt, check the fuse/MCB. Unless the 7A device is lighting, connecting it would be illegal in the UK. Don't forget anything else on the same circuit.
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It depends on the rating of the circuit. Standard lighting circuits in households are typically 15 or 20 amps. If your circuit is 15 amps, then 7 amps should be fine. However, if it's a 20 amp circuit, 7 amps should still be safe but you need to be cautious about adding more loads.
The continuous current draw on a 20 amp circuit breaker should not exceed 16 amps to allow for a safety margin. This helps prevent overheating and potential tripping of the circuit breaker. It is important to follow the manufacturer's guidelines and not overload the circuit.
It depends on the capacity of the circuit. A typical residential circuit in the US is rated for 15 or 20 amps.
To start with a #14 conductor is rated at 15 amps. An overload is any current rating above what the conductor can legally carry. So to answer the question, as long as the amperage stays below the conductor rating of 15 amps no overload will occur. Depending on the length of the cord to the shed it could cause you some low voltage problems because as the voltage drops due to line loss the current will go higher. This is especially true is a motor is connected to the circuit in the shed.
The electrical current in a circuit is measured in amps.
Yes : but in a residential case a 15 amp circuit would be better