Wireless electric transmission

There's a couple of things I can see that either serve no purpose or that you just can't do. First, lose the LEDs. Those are indicators; they really don't serve another purpose. If it's your intention to transmit wireless energy, the circuit would have to be running at 100's of kHz at least which is much too fast to see. Second, you can't just connect the bases of your power transistors directly to your multvibrator collectors like that. Think of the base of a BJT as the anode of a diode and the emitter as the cathode before even considering the collector. What would happen if you put a forward biased diode across the output of your signal generator? A short circuit. So it's always necessary to limit the current somehow. There are 3 main methods for coupling the output of one stage to the input of the next when using BJTs: Direct coupling is what you're attempting but it almost always needs to be done through a resistor. Then there is capacitive coupling where a capacitor is used to limit current and block DC, normally in conjunction with resistors. And finally there is transformer coupling wherein a small transformer is used to accomplish current limiting, block DC and can also match the output impedance of one stage to the input impedance of the next.

The best circuit around these days for wireless power, induction heating and driving flyback transformers for high voltage is called a "zvs driver" or "mazzilli driver". Most people will actually have everything necessary to build one if they've got an old CRT tv or monitor laying around. Power inverters and Uninterruptible power supplies will also usually contain the necessary parts if you're willing to salvage. You can also get fully built circuits or kits from ebay, banggood or Amazon.

Thanks for detailed explanation. It really helped.