It depends where the short occurs.
You have a short circuit in your wiring. You need to take your vehicle to a mechanic to have it fixed before you damage your battery.
a short in you wiring harness
There are a number of reasons why your wipers may come on by itself when driving. You may have a short in the wiring.
Bad wiring can cause a short in the radio. Bad battery will not.
A constantly 'blowing' fuse is an indication that there is a short circuit somewhere in the wiper motor wiring. Or the person driving it
Certainly could, especially if the bare wires that were connected to the lighter mechanism short out (touch) together. This will cause a dead short and render the car's entire electrical system inoperable.
You have a short in the wiring, find the short and replace the wire. Tip: The vehicle is 60 years old, I would replace all the wiring, they may have complete wire harnesses for that vehicle. (J C Whitney's maybe).
If the reverse light on a Citroën C3 stays on while driving, it may be due to a malfunctioning reverse light switch, which is typically located on the transmission. This switch may be stuck in the "on" position or have a wiring issue. Additionally, a short circuit in the electrical system could cause the reverse lights to remain illuminated. It's advisable to have the vehicle inspected by a mechanic to diagnose and resolve the issue.
If reverse lights remain on while driving, it could indicate a malfunction in the vehicle's neutral safety switch or reverse light switch, which may be stuck in the "on" position. Additionally, issues with the wiring or a short circuit could cause the lights to stay illuminated. It's essential to check these components to ensure proper function and safety. Seeking professional assistance is recommended if the issue persists.
A short circuit either in your wiring system or electrical panel could cause your fuses to blow. Most likely, it would be caused by a burned out wire which is frayed and touching a piece of metal in your vehicle.
bad switch or relay, possible short in wiring
It is possible to have a short in the wiring harness to the battery. If there is a lot of corrosion where the cables connect to the battery, this may be and indicator. That is only one possibility.