That depends on what you call "high".
Whether or not you consider it high, the current is the same all the way around a series circuit.
A device with a low resistive load will produce a high current in a series circuit.
A device with a low resistive load will produce a high current in a series circuit.
In this case current flows from a high voltage to a lower voltage in a circuit.
In a series circuit, the flow of electric current can be stopped by breaking the circuit, which can occur if a switch is opened, a wire is cut, or a component fails, such as a blown fuse or burned-out light bulb. Since current must pass through each component in a series circuit, any interruption halts the entire flow. Additionally, adding a resistor with high resistance can also limit or stop the current flow.
When you have multiple loads in a series, the resistance of the loads is added together allowing very little current to flow through the circuit to power any of the loads, making for a low amperage circuit. If you have your loads in parellel, the resistance of the loads in the circuit is subtracted which allows more current to flow, making for a high amperage circuit.
The voltmeter is connected parallel to the circuit in order to measure the voltage drop across that circuit or sub-circuit. If you were to connect the volmeter series to the circuit, since it is a high impedance device, it would represent an effective open-circuit condition. You would see the voltage available to the circuit, but the circuit would not receive its intended current and it would not function. Contrast this with the ammeter, which you do place series to the circuit in order to measure the current flow through the circuit.
When you have multiple loads in a series, the resistance of the loads is added together allowing very little current to flow through the circuit to power any of the loads, making for a low amperage circuit. If you have your loads in parellel, the resistance of the loads in the circuit is subtracted which allows more current to flow, making for a high amperage circuit.
The current in a short circuit may be very high because the resistance in the short circuit is probably less than the resistance in the original circuit.
Maximum.
You do use an ammeter in series. It has a very low resistance, which according to ohms law, makes it ideal for measuring current. You do not use a volt meter in series, as it has a very HIGH resistance and would not allow current to flow. You measure the voltage across a component (or components), and current through a circuit.
The current flowing in a circuit is said to be very small when it is in the range of microamperes (10^-6 A) or even lower. This low current can be indicative of high resistance or very low power consumption in the circuit.
A fuse protects the (expensive) circuit for too high currents. When the current becomes too high the (cheap) fuse melts and the current is stopped, preferably before damage has been done to the circuit.